Alright, let's work through 7678 times 5001 step by step
7678 × 5001 = 5001 × (7678)
+ 5001 × 8 yielding 40008
+ 5001 × 70 what gives us 350070
+ 5001 × 600 that equals 3000600
+ 5001 × 7000 yielding 35007000

= 38397678
