76764 has 12 divisors (see below), whose sum is σ = 179144. Its totient is φ = 25584.

The previous prime is 76757. The next prime is 76771. The reversal of 76764 is 46767.

It is an interprime number because it is at equal distance from previous prime (76757) and next prime (76771).

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a congruent number.

It is an unprimeable number.

76764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3187 + ... + 3210.

2⁷⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

76764 is an abundant number, since it is smaller than the sum of its proper divisors (102380).

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 (89572).

76764 is a wasteful number, since it uses less digits than its factorization.

76764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6402 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 76764 is about 277.0631696924. The cubic root of 76764 is about 42.4997001132.

The spelling of 76764 in words is "seventy-six thousand, seven hundred sixty-four".