76887 has 6 divisors (see below), whose sum is σ = 111072. Its totient is φ = 51252.

The previous prime is 76883. The next prime is 76907. The reversal of 76887 is 78867.

It is a happy number.

It is not a de Polignac number, because 76887 - 2² = 76883 is a prime.

It is a super-2 number, since 2×76887² = 11823221538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76883) 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, 4263 + ... + 4280.

It is an arithmetic number, because the mean of its divisors is an integer number (18512).

2⁷⁶⁸⁸⁷ is an apocalyptic number.

76887 is a deficient number, since it is larger than the sum of its proper divisors (34185).

76887 is a wasteful number, since it uses less digits than its factorization.

76887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8546 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 76887 is about 277.2850518870. The cubic root of 76887 is about 42.5223872825.

Adding to 76887 its product of digits (18816), we get a triangular number (95703 = T₄₃₇).

The spelling of 76887 in words is "seventy-six thousand, eight hundred eighty-seven".