All airliners have the power they need to have and no more. Twins need more power than quads because all airliners must be able to cope with one engine failure at the most critical time during take off.
The pretty standard runway lengths around the world dictate the power to weight ratio, which is the only thing which means anything to the accelleration.
A twin usually has a power to maximum take-off weight (MTOW) ratio around 3.1 - 3.3 while a quad has a ratio around 3.8 - 4.1. You can check every single airliner type out on the manufacturers' web sites. The 777 is completely in line with other twins, no more, no less.
A large and more efficient wing allows a slightly slower take-off speed and more economic power, and visa versa, therefore the decimals vary a little.
On a long range plane - like for instance a 777 - the max. fuel load is several times heavier than the max payload. When such a bird is used on sectors of only a few thousand miles, and consequently carry a light fuel load, then they have a very favourable power to weight ratio - just like a heavy truck which is missing its trailer.
It would be hard to imagine a more stupid thing than to put too powerful (and too heavy and fuel guzzling) engines on an otherwise good airliner. No airliner manufacturer ever did that.
The only planes which differ are those which were designed for unusually short runways and must accellerate more than other planes. That's planes like the DHC Dash-7 and DC-9-21 (or DC-9 Sport). The latter was only built in ten examples and they are disappearing now.
I have been on a DC-9-21 a few times, but never on short runways. There was no excessive accellaration, obviously because on a standard runway the flight crew cleverly chose to take off at reduced power to minimise external noise, engine wear and fuel burn.
At some airports it may be favourable for noise reduction to make full power take off even with a lightly loaded plane. That's when the airport surroundings are not noise sensitive, but you want to be as high as possible when passing the first populated and noise sensitive area.
All such things may make take-off rolls feel differently, but that has nothing special with the 777 to do. Anyway a 777 (or any other long range plane) may take off in a very lightweight condition even if the cabin is full, while that of course never happens on a fully loaded short or medium range plane which was not designed to carry 100+ tonnes of fuel.
Best regards, Preben Norholm
Always keep your number of landings equal to your number of take-offs