76689 has 6 divisors (see below), whose sum is σ = 110786. Its totient is φ = 51120.

The previous prime is 76679. The next prime is 76697. The reversal of 76689 is 98667.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 11664 = 255^2 + 108^2 .

It is not a de Polignac number, because 76689 - 2⁴ = 76673 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4252 + ... + 4269.

2⁷⁶⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

76689 is a deficient number, since it is larger than the sum of its proper divisors (34097).

76689 is a wasteful number, since it uses less digits than its factorization.

76689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527 (or 8524 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 76689 is about 276.9277884215. The cubic root of 76689 is about 42.4858545773.

The spelling of 76689 in words is "seventy-six thousand, six hundred eighty-nine".