76008 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 25328.

The previous prime is 76003. The next prime is 76031. The reversal of 76008 is 80067.

It is not an unprimeable number, because it can be changed into a prime (76001) by changing a digit.

76008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1560 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2⁷⁶⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

76008 is an abundant number, since it is smaller than the sum of its proper divisors (114072).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040).

76008 is a wasteful number, since it uses less digits than its factorization.

76008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 76008 is about 275.6954841850. The cubic root of 76008 is about 42.3597220443.

The spelling of 76008 in words is "seventy-six thousand, eight".