77056128 has 48 divisors (see below), whose sum is σ = 221740350. Its totient is φ = 25684992.

The previous prime is 77056127. The next prime is 77056139. The reversal of 77056128 is 82165077.

77056128 is a `hidden beast` number, since 7 + 70 + 561 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 9290304 = 8232^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 77056092 and 77056101.

It is not an unprimeable number, because it can be changed into a prime (77056123) 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, 32293 + ... + 34596.

Almost surely, 2^77056128 is an apocalyptic number.

It is an amenable number.

77056128 is an abundant number, since it is smaller than the sum of its proper divisors (144684222).

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

77056128 is a wasteful number, since it uses less digits than its factorization.

77056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66909 (or 66894 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 77056128 is about 8778.1619944041. The cubic root of 77056128 is about 425.5354321933.

The spelling of 77056128 in words is "seventy-seven million, fifty-six thousand, one hundred twenty-eight".