76565120 has 32 divisors (see below), whose sum is σ = 183040020. Its totient is φ = 30625792.

The previous prime is 76565119. The next prime is 76565123. The reversal of 76565120 is 2156567.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76457536 + 107584 = 8744^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×76565120² = 11724435201228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (76565123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59177 + ... + 60456.

Almost surely, 2^76565120 is an apocalyptic number.

It is an amenable number.

76565120 is an abundant number, since it is smaller than the sum of its proper divisors (106474900).

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

76565120 is a wasteful number, since it uses less digits than its factorization.

76565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119652 (or 119640 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 76565120 is about 8750.1497130049. The cubic root of 76565120 is about 424.6296566167.

The spelling of 76565120 in words is "seventy-six million, five hundred sixty-five thousand, one hundred twenty".