Concept used : For a number to be divisible by 6, it has to be divisible by 2 and 3.
Calculation :
For 45678,
It is divisible by 2 as it is an even number.
Also 4 + 5 + 6 + 7 + 8 = 30, which is a multiple of 3, hence it is also divisible by 3.
∴ 45678 is divisible by 6.
Answer : 45678 is divisible by 6.