San Francisco (10-13, 3-7 West Coast) hit 14 of 24 shots from 3-point range, including 4 of 4 from Avry Holmes and 4 of 6 from Dickerson.
Holmes finished with15 points and Cody Doolin had 13 to go with eight assists.
Pepperdine (10-12, 2-7) had a 42-35 lead at halftime, but could not maintain its edge after that. San Francisco hit eight of its 3-pointers in the second half.
Doolin tied the game at 68 with a basket and his steal and layup with 4:54 left in the game put the Dons ahead to stay.
Lorne Jackson led Pepperdine with 20 points. Stacy Davis had a double-double with 18 points and 15 rebounds. Nikolas Skouen had 13 points.