5970 (around 245 Watts) is more efficient than 2x 5870 (like 376W) that's without overclocking...
(245+375)*1,20 (+20% electricity wasted) thats 744W plus other power eaters like CPU, fans... etc
So depends on your system, if you have high-end CPU, RAM... etc. that PSU will scream "F*** you leave me alone"