77956 has 6 divisors (see below), whose sum is σ = 136430. Its totient is φ = 38976.

The previous prime is 77951. The next prime is 77969. The reversal of 77956 is 65977.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 33856 = 210^2 + 184^2 .

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (77951) by changing a digit.

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, 9741 + ... + 9748.

2⁷⁷⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

77956 is a deficient number, since it is larger than the sum of its proper divisors (58474).

77956 is a wasteful number, since it uses less digits than its factorization.

77956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19493 (or 19491 counting only the distinct ones).

The product of its digits is 13230, while the sum is 34.

The square root of 77956 is about 279.2060171271. The cubic root of 77956 is about 42.7185512468.

The spelling of 77956 in words is "seventy-seven thousand, nine hundred fifty-six".