Alright, let's work through 5780 times 7678 step by step
5780 × 7678 = 7678 × (5780)
+ 7678 × 0 what gives us 0
+ 7678 × 80 which equals 614240
+ 7678 × 700 producing 5374600
+ 7678 × 5000 that results in 38390000

= 44378840
