76864 has 14 divisors (see below), whose sum is σ = 152654. Its totient is φ = 38400.

The previous prime is 76847. The next prime is 76871. The reversal of 76864 is 46867.

76864 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 36864 = 200^2 + 192^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

76864 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 537 + ... + 664.

2⁷⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

76864 is a deficient number, since it is larger than the sum of its proper divisors (75790).

76864 is a wasteful number, since it uses less digits than its factorization.

76864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 76864 is about 277.2435752186. The cubic root of 76864 is about 42.5181468064.

The spelling of 76864 in words is "seventy-six thousand, eight hundred sixty-four".