Nikon D780 has a Nikon F lens mount and currently there are 316 native lenses available for this mount.
The latest released lenses that are compatible with the D780 are the Samyang MF 85mm F1.4 Mk2, the Samyang MF 14mm F2.8 Mk2 and the Irix 45mm F1.4.
Nikon D780 doesn't have a sensor based image stabilization system but
72 of these lenses already comes with optical image stabilization.
Since Nikon D780 has a Full frame sensor, it has a focal length multiplier of 1× so lenses will provide their original focal length on D780.
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Nikon D780 Lenses with Image Stabilization
Nikon D780 Lenses with Weather Sealings