756135968 has 48 divisors (see below), whose sum is σ = 1704374784. Its totient is φ = 323473920.

The previous prime is 756135967. The next prime is 756135983. The reversal of 756135968 is 869531657.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (756135967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135473 + ... + 140943.

It is an arithmetic number, because the mean of its divisors is an integer number (35507808).

Almost surely, 2^756135968 is an apocalyptic number.

It is an amenable number.

756135968 is an abundant number, since it is smaller than the sum of its proper divisors (948238816).

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

756135968 is a wasteful number, since it uses less digits than its factorization.

756135968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6097 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 50.

The square root of 756135968 is about 27497.9266127466. The cubic root of 756135968 is about 911.0313019039.

The spelling of 756135968 in words is "seven hundred fifty-six million, one hundred thirty-five thousand, nine hundred sixty-eight".