A novel soybean cultivar, designated 70826751, is disclosed. The invention relates to the seeds of soybean cultivar 70826751, to the plants of soybean 70826751 and to methods for producing a soybean plant produced by crossing the cultivar 70826751 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar 70826751 with another soybean cultivar.