76977 has 8 divisors (see below), whose sum is σ = 114080. Its totient is φ = 51300.

The previous prime is 76963. The next prime is 76991. The reversal of 76977 is 77967.

It is an interprime number because it is at equal distance from previous prime (76963) and next prime (76991).

It is not a de Polignac number, because 76977 - 2⁴ = 76961 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76977.

It is not an unprimeable number, because it can be changed into a prime (76907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399 + ... + 1452.

It is an arithmetic number, because the mean of its divisors is an integer number (14260).

2⁷⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

76977 is a deficient number, since it is larger than the sum of its proper divisors (37103).

76977 is a wasteful number, since it uses less digits than its factorization.

76977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2854 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 76977 is about 277.4472922917. The cubic root of 76977 is about 42.5389723254.

Subtracting 76977 from its reverse (77967), we obtain a triangular number (990 = T₄₄).

The spelling of 76977 in words is "seventy-six thousand, nine hundred seventy-seven".