77055525 has 18 divisors (see below), whose sum is σ = 138015410. Its totient is φ = 41096160.

The previous prime is 77055493. The next prime is 77055533. The reversal of 77055525 is 52555077.

It can be written as a sum of positive squares in 3 ways, for example, as 1313316 + 75742209 = 1146^2 + 8703^2 .

It is not a de Polignac number, because 77055525 - 2⁵ = 77055493 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77055525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171010 + ... + 171459.

Almost surely, 2^77055525 is an apocalyptic number.

77055525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77055525 is a deficient number, since it is larger than the sum of its proper divisors (60959885).

77055525 is a wasteful number, since it uses less digits than its factorization.

77055525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342485 (or 342477 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 77055525 is about 8778.1276477390. The cubic root of 77055525 is about 425.5343221863.

The spelling of 77055525 in words is "seventy-seven million, fifty-five thousand, five hundred twenty-five".