Keep in mind that music is not always at the same volume. Even if sustained levels above 80 dB or so aren't good for long-term listening, depending on what you're listening to, you may want peaks to go significantly higher. For example, you're listening to a symphony recording and there is a quiet flute solo in the low register. This may be like 60 dB quieter or so than the entire orchestra playing at max volume for the climax. So if you have the flute solo playing at about 50 dB, then most of the time the music may be around 80 dB, and for the climax it may be up to like 110 dB for a note, which is maybe a reasonable volume for that occasional peak.
Most modern music is mastered with a much much much narrower dynamic range though.
E9 is a lot more powerful, is a desktop (non-portable) amp, and is more expensive.
E7 is less powerful, can be used as an amp (portable) or USB DAC or USB DAC + amp, and is less expensive.
The performance of both devices is actually similar except that the E9 has more power. The advantage of the E7 is that when used with the computer, it will bypass whatever sound card you have. The DAC implementation on the E7 is apparently okay (not stellar) and superior to that on most consumer sound cards. Also, you could carry around the E7 and use it as an amp for your TV or something else.
I suspect that unless you listen to music with a lot of dynamic range and thus need the max possible volume to be higher, the E7 should have enough power for the DT 770 Pro 80. They should be able to put over 40 mW cleanly into those headphones. I've not personally tried it, but I don't think there's anything to suggest that the E7 doesn't have enough "power" or "authority" or "current" and so on (whatever those things mean when people say them) for most headphones with lower impedance like that. e.g. the Denons, AKG K701, the Shures, the more efficient orthodynamics, etc.