A novel soybean cultivar, designated 70876922, is disclosed. The invention relates to the seeds of soybean cultivar 70876922, to the plants of soybean 70876922 and to methods for producing a soybean plant produced by crossing the cultivar 70876922 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar 70876922 with another soybean cultivar.