If I had to describe it myself, I'd say there's a faint trace of warmth through the upper bass and lower midrange, which warms up the upper harmonics of bass and perhaps gives the impression of a little more body than is actually there, strictly speaking. Definitely not bass monster territory, or even above baseline, really. That said, we can't discount unit variation, though I wouldn't imagine it's that significant. I've heard that the variation between DT770 units can be pretty large, though, so who knows.
I've also always felt that, while the DT880 has a perfectly competent bass presentation, it loses a bit of texture at the very bottom, though that could just be the lack of authority or strong punch. It's an open dynamic design, and as such is always going to have trouble controlling the very low notes. For what it has to work with it does an admirable job. This is one area where I suspect newer models by Beyer and others have a definite technical edge.