76688 has 10 divisors (see below), whose sum is σ = 148614. Its totient is φ = 38336.

The previous prime is 76679. The next prime is 76697. The reversal of 76688 is 88667.

It is an interprime number because it is at equal distance from previous prime (76679) and next prime (76697).

It can be written as a sum of positive squares in only one way, i.e., 73984 + 2704 = 272^2 + 52^2 .

It is a congruent number.

It is an unprimeable number.

76688 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 as a sum of consecutive naturals, namely, 2381 + ... + 2412.

2⁷⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

76688 is a deficient number, since it is larger than the sum of its proper divisors (71926).

76688 is a wasteful number, since it uses less digits than its factorization.

76688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4795 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 76688 is about 276.9259828907. The cubic root of 76688 is about 42.4856699092.

The spelling of 76688 in words is "seventy-six thousand, six hundred eighty-eight".