Late on Monday, six people, including two girls - one three years old and the other nine months old - were rescued from the ruins of a hotel near the coastal town of Manta.
Elsewhere, funerals for some of those killed were held in Portoviejo and Pedernales, two towns that were the worst hit.
"I fear that figure will go up because we keep on removing rubble," a shaken Mr Correa said in a televised address. "There are signs of life in the rubble, and that is being prioritised."
The quake comes at a time when the oil-producing country is already reeling from the slump in global crude prices.
Image copyrightAFP/Getty ImagesImage captionHundreds of people are feared to have died in the town of PedernalesImage copyrightAFP/Getty ImagesImage captionPedernales was "devastated" in the quake, its mayor said
Luis Almagro, the secretary general of the Organization of American States, said some of the group's rarely used emergency funds would be unlocked and given to Ecuador to help it rebuild.
On the scene - Katy Watson, BBC News, El Carmen
An hour inland from Pedernales, we come across a digger working its way through a mound of rubble. This, we are told, was Joselo's house - or what's left of it. A three-storey building turned to rubble.
According to the neighbours, most had got out as soon as the earthquake struck. Joselo was trying to get his car out of the garage when the roof collapsed on top of him. A bloodied pillow and his T-shirt lie tossed in a corner of what now looks like a building site.
Dozens of former residents climb on to the rubble and sift through broken stones to recover whatever belongings remain intact.
"I had to make an unexpected trip out of town," says Emilio Solorzano. "Just as well, otherwise I would have been crushed, I'm standing on my bedroom."
Western Ecuador was hit by a number of strong aftershocks on Monday, the largest of which measured magnitude 5.1.
In Pedernales, close to the epicentre, as many as 400 people are feared dead. Mayor Gabriel Alcivar said the "entire town" had been flattened.
"Pedernales is devastated," he told local media. "Buildings have fallen down, especially hotels where there are lots of tourists staying. There are lots of dead bodies.
"We're trying to do the most we can but there's almost nothing we can do," he added, warning that looting had broken out.
Image copyrightAPImage captionFunerals for some of the victims took place on Monday in Portoviejo
Media captionThe death toll is still expected to rise
In Portoviejo, a city of 300,000 people 15km (10 miles) from the coast, rescuers rushed to search the debris of flattened buildings for survivors as residents reported the stench of decaying bodies beneath the rubble.
Some looting was also reported in Portoviejo. "I have to take some advantage from this horrible tragedy," one man, Jorge Esquivel, told Reuters. "I need money to buy food. There's no water, no light, and my house was destroyed."
Hundreds of people in Portoviejo and Pedernales are expected to have to sleep outdoors on Monday night.
In Portoviejo, four members of the same family were killed when a building collapsed on their car, Associated Press reported. The Quinde family had travelled to the city to drop off 17-year-old daughter Sayira, who was due to start university next week.
Elsewhere in Portoviejo, the vibrations reduced part of the city's prison to rubble, allowing 100 inmates to escape. Some were recaptured but others remained on the run, Justice Minister Ledy Zuniga said on Twitter.
Image copyrightPAImage captionNun Clare Theresa Crockett from Northern Ireland was killed when the quake destroyed her school in the Ecuadorean town of Playa Prieta
Two Canadians, named as Jennifer Mawn, 38, and her son, Arthur, 12, died the earthquake, media in Canada report
One US citizen is among the victims, the State Department says
More than 13,500 emergency workers are deployed, with some 400 coming from nearby South American countries
The US Geological Survey said the earthquake struck at a fairly shallow depth of 19.2km (11.9 miles), about 27km from Muisne in a sparsely populated area.
The quake was also felt in neighbouring Colombia.
Scientists say there is no connection between the quake in Ecuador and a severe tremor in southern Japan, which also occurred on Saturday.
BBC Football Daily rounds up Tottenham Hotspur's 4-0 away win over Stoke City as Harry Kane and Dele Alli both score twice to keep Spurs in the Premier League title chase.
Barcelona were nine points clear at the top of La Liga at the start of April, a gap that has now been wiped out
On 16 March, goals from Luis Suarez, Neymar and Lionel Messi eased Barcelona to a 3-1 Champions League victory over Arsenal, completing a straightforward 5-1 aggregate win and sending the holders into the last eight.
Match of the Day presenter Gary Lineker, a former Camp Nou striker, was moved to tweet: "The football that Barca play is utterly joyous. The best team to watch in the history of the beautiful game."
His gushing sentiments were widely shared. The win over Arsenal was Barca's 38th consecutive game without defeat, they held a seemingly unassailable lead over Atletico and Real Madrid at the top of La Liga and had advanced to a Copa del Rey final meeting with Sevilla.
As the season entered its final straight, a back-to-back league, cup and European treble was looking distinctly likely.
Fast forward one month, and the picture has changed - dramatically. Since the start of April, the Catalan giants have been knocked out of the Champions League, lost three straight league games for the first time in 13 years and seen their nine-point advantage in La Liga whittled down to nothing.
Suddenly "the best team to watch in the history of the beautiful game" cannot seem to win a match and have been plunged into a dramatic crisis which could see their season finish without a trophy. What on earth is going on?
Just a case of bad luck?
Luis Enrique won the treble in his first season as Barcelona manager
According to manager Luis Enrique, his team's downturn is a simple case of bad luck.
That, at least, was his explanation for their latest setback, Sunday's 2-1 home defeat by Valencia, when he claimed he was happy with the performance and that "we only lacked the necessary fortune to win the game".
The local media agreed, with newspaper Mundo Deportivo's front page on Monday featuring a headline which lamented: "1-2. How unfair!"
It is true that Barca created plenty of chances to claim three points: Suarez headed over from close range, Gerard Pique dragged a golden chance wide and visiting keeper Diego Alves made excellent saves from Messi (twice), Ivan Rakitic and Neymar. In addition, Valencia's opener was a freak own goal as Rakitic deflected a cross into the net.
Similarly, Barca's other recent defeats have contained moments of ill fortune.
In the home defeat by Real Madrid that started the rot, for example, Barca flew out of the blocks and should have taken the lead when Suarez inexplicably mis-kicked in front of an open goal. Bad finishing rather than bad luck, true, but the outcome may have been very different if he had scored.
And in stoppage time at the end of their decisive Champions League defeat by Atletico Madrid, Barca were denied a penalty when home captain Gabi blocked Andres Iniesta's goalbound shot with his arm clearly inside the area, only for referee Nicola Rizzoli to judge wrongly that the offence had taken place outside the box.
So things have gone against them - but they have benefited from the rub of the green too. Gareth Bale had a goal disallowed harshly in the Clasico defeat, while Iniesta was lucky to avoid a red card for a deliberate handball at Atletico.
Bad luck, then, is not the only answer to Barca's malaise. So what is?
'MSN' mis-firing
Lionel Messi scored his 500th career goal against Valencia but his partnership with Neymar and Luis Suarez has not been as profitable in recent matches as it had been earlier this season
The key to Barca's success over the past 18 months has been their sensational strike force of Messi, Suarez and Neymar, known by the acronym 'MSN', who combined for a record 122 goals last season and have reached treble figures again this time around.
Just as MSN's success was central to their team's long unbeaten run, the current slump is explained largely by a sudden and sharp downturn in the front three's effectiveness.
During five games in March, they scored 13 goals between them, with Messi grabbing seven, Suarez two and Neymar four. But they have only netted three between them in their past five outings - one from Messi, two from Suarez and none from Neymar.
It is not just about the lack of goals. The front three, who have worked so well together over the past 18 months, appear to have lost the near-telepathy which made them almost impossible to stop.
During the Champions League quarter-final second leg defeat against Atletico, for instance, Messi did not complete a single pass to Suarez over the entire 90 minutes and made only one to Neymar; in the previous round's home win over Arsenal, by contrast, Messi completed three passes to Suarez and no fewer than 13 to Neymar.
Something has gone very wrong with the collective dynamic between these three spectacular players. The great mystery is what.
Running out of steam?
Barcelona could lose their place at the top of La Liga on Wednesday
Fatigue is the explanation offered most commonly for Barca's struggles as they head into the final stages of a demanding season, which started earlier than other clubs because of their involvement in the Spanish and Uefa Super Cups.
With December's Fifa Club World Cup in Japan adding to the workload, Sunday's defeat by Valencia was their 56th match of the season. In Europe's big five leagues, only Athletic Bilbao have played more games. By comparison, Champions League semi-finalists Manchester City have played 52, and Bayern Munich 45.
It is perhaps not coincidental that the Clasico defeat by Real Madrid, which began Barca's slump, followed an international break that had seen six of their starting XI - including the three superstar forwards - embark upon transatlantic flights to and from South America.
They certainly looked jaded during that defeat against Real and in the second leg of the Champions League exit to Atletico, but there were no visible signs of tiredness during Sunday's loss to Valencia, when they kept on running hard until the last seconds.
And it is certainly not advisable to try telling manager Enrique that his team are tired. In his news conference after Sunday's match, journalist Victor Malo asked whether the physical aspect was an element in his team's problems.
The Barca boss replied by asking the journalist for his surname, knowing full well that the answer was 'Malo', the Spanish word for 'bad'. "Correct," sniffed Enrique. "Next question."
Same tactics, different outcome
Lionel Messi has scored 450 goals in his Barcelona career
Enrique certainly has not caused his team's collapse with any tactical tinkering, because they have played in exactly the same manner and with the same personnel during their four recent defeats as they did during their six-month unbeaten run.
If one slight change can be identified, it is that Messi is occupying a more central position, allowing opposing defences to focus their attentions in the middle rather than forcing them to stretch across the full width of the pitch, as they have to do when Messi is positioned on the right wing.
But that is only a minor variation and does not explain why the front three have stopped combining so well or so regularly - which is, ultimately, the greatest dilemma for Enrique to solve. If he can get MSN firing again, the team will start scoring and winning again.
One major criticism aimed at Enrique is the lack of squad depth, which leaves the manager without viable options in reserve.
During Sunday's game against Valencia, for example, Enrique did not make any substitutions at all, clearly not believing that anybody on the bench could have made a positive impact.
Although his hand was weakened by the absence of injured attacking midfielder Rafinha and the out-of-form Arda Turan through suspension, it has left Enrique open to the accusation that his team is too one-dimensional.
The Madrid media has latched onto that line of thinking, with Marca accusing Enrique of being a 'ghost' on the touchline for his failure to make substitutions or tactical changes against Valencia. The paper also suggested that his team's collapse makes him resemble former Manchester United assistant Carlos Queiroz during his ill-fated stint in charge of Real Madrid in 2003-04.
Of course, the easy retort is that Enrique doesn't have a 'Plan B' because when his 'Plan A' of MSN is functioning, nothing else is needed. But with the trio's loss of form, Barca do not appear to have any other way of winning.
Fixtures favour Barca
There is no time for Enrique and his players to sit around feeling sorry for themselves, because the first of their five remaining La Liga games takes place on Wednesday with a journey to Deportivo La Coruna.
The fixture list would appear to favour Barca, with all their upcoming opponents currently in the bottom half of the table.
Atletico, meanwhile, face a testing trip to fifth-placed Athletic Bilbao on Wednesday and will have to do without the services of their suspended captain Gabi.
Real Madrid also face a tricky midweek fixture with the visit of Villarreal, who are pushing hard to secure fourth place and have a Europa League semi-final with Liverpool to look forward to.
In their current form, Barca will find it anything but easy to win their game against Deportivo, who have been La Liga's draw specialists this season. No fewer than 17 of their 33 games ending in a stalemate - including a 2-2 draw at Camp Nou in December.
Worrying about their title rivals will do little good. Barca's season will be decided by whether they can return to their pre-April form. If they do, they should win all five games and be crowned champions.
A US appeals court has upheld a $1bn (£700m) settlement between the National Football League (NFL) and a group of retired players who suffered brain damage as result of concussions.
Circuit Judge Thomas Ambro called the agreement imperfect but fair.
Some players involved in the lawsuit had also lobbied for potential victims of chronic traumatic encephalopathy (CTE), to be covered.
The settlement could apply to over 21,000 former players, the NFL said.
Some 5,000 former players successfully sued the NFL, claiming it hid the dangers of repeated head trauma.
Top NFL officials now acknowledged a link between head trauma in football and CTE.
CTE is associated with symptoms such as memory loss, depression and progressive dementia.
The disease, which can only be diagnosed after death, has been found in the brains of dozens of former American football players.
The NFL and the players' group did not respond to requests for comment.
Leicester City striker Jamie Vardy faces an extended ban during the Premier League title run-in after being charged with improper conduct by the Football Association.
Vardy, 29, remonstrated with referee Jon Moss after he was shown a red card in Sunday's 2-2 draw with West Ham.
The FA has also charged Leicester with failing to control their players after West Ham won an 83rd-minute penalty.
Vardy and Leicester have until 18:00 BST on Thursday to respond.
AP
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