They both run a little over 10hrs but neither can ran for very long. The difference is you can get a spare battery for E11, though it is just as easy to use a cellphone backup battery (like the Energizer Xpal) to double A10 battery life. I think E11 should be able to drive DT700 80ohm fine, but that is based on spec and I don't know how well it will be. Bass boost wise, E11 Lv2 is almost equal to A10 in sub-bass, but A10 get a little more mid bass and overall more volume.
I see. In your review you mentioned that the A10 can't compete with the E11 when it comes to output power. Yet on specs both of them are aimed at 16 - 300 ohm headphones. Could you with any certainty say if the soundmagic won't be able to power the dt770's?
Sorry for all the questions.