Nikon D780 has a
25.0MP Full frame (35.9 x 23.9 mm ) sized BSI-CMOS sensor and features Expeed 6 processor. On the other hand, Canon 5D MIII has a
22.0MP Full frame (36 x 24 mm ) sized CMOS sensor and features Digic 5+ processor.
Below you can see the D780 and 5D MIII sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon D780 and Canon 5D MIII Cameras
Nikon D780 and Canon 5D MIII have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Nikon D780
or the
Canon 5D MIII ,
including hyperfocal distance.