77053725 has 108 divisors (see below), whose sum is σ = 166769460. Its totient is φ = 33868800.

The previous prime is 77053687. The next prime is 77053733. The reversal of 77053725 is 52735077.

It can be written as a sum of positive squares in 6 ways, for example, as 441 + 77053284 = 21^2 + 8778^2 .

It is not a de Polignac number, because 77053725 - 2⁶ = 77053661 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77053725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 319605 + ... + 319845.

Almost surely, 2^77053725 is an apocalyptic number.

77053725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77053725 is an abundant number, since it is smaller than the sum of its proper divisors (89715735).

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

77053725 is a wasteful number, since it uses less digits than its factorization.

77053725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 77053725 is about 8778.0251195813. The cubic root of 77053725 is about 425.5310086980.

The spelling of 77053725 in words is "seventy-seven million, fifty-three thousand, seven hundred twenty-five".