76908 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 21504.

The previous prime is 76907. The next prime is 76913. The reversal of 76908 is 80967.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638 + ... + 2666.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁷⁶⁹⁰⁸ is an apocalyptic number.

76908 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

76908 is an abundant number, since it is smaller than the sum of its proper divisors (134772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76908 is a wasteful number, since it uses less digits than its factorization.

76908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 76908 is about 277.3229164710. The cubic root of 76908 is about 42.5262582830.

The spelling of 76908 in words is "seventy-six thousand, nine hundred eight".