77956020 has 60 divisors (see below), whose sum is σ = 244556004. Its totient is φ = 20787840.

The previous prime is 77956019. The next prime is 77956063. The reversal of 77956020 is 2065977.

77956020 is a `hidden beast` number, since 7 + 79 + 560 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 35497764 = 6516^2 + 5958^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22441 + ... + 25680.

Almost surely, 2^77956020 is an apocalyptic number.

It is an amenable number.

77956020 is an abundant number, since it is smaller than the sum of its proper divisors (166599984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77956020 is a wasteful number, since it uses less digits than its factorization.

77956020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48142 (or 48131 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 77956020 is about 8829.2706380539. The cubic root of 77956020 is about 427.1855489999.

The spelling of 77956020 in words is "seventy-seven million, nine hundred fifty-six thousand, twenty".