756688064 has 56 divisors (see below), whose sum is σ = 1641805200. Its totient is φ = 343162880.

The previous prime is 756688027. The next prime is 756688067. The reversal of 756688064 is 460886657.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (756688067) 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, 399632 + ... + 401520.

It is an arithmetic number, because the mean of its divisors is an integer number (29317950).

Almost surely, 2^756688064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820902600).

756688064 is an abundant number, since it is smaller than the sum of its proper divisors (885117136).

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

756688064 is a wasteful number, since it uses less digits than its factorization.

756688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The square root of 756688064 is about 27507.9636469151. The cubic root of 756688064 is about 911.2529791294.

The spelling of 756688064 in words is "seven hundred fifty-six million, six hundred eighty-eight thousand, sixty-four".