756645032 has 64 divisors (see below), whose sum is σ = 1724284800. Its totient is φ = 306512640.

The previous prime is 756645031. The next prime is 756645041. The reversal of 756645032 is 230546657.

756645032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) 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 (756645031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21773 + ... + 44579.

It is an arithmetic number, because the mean of its divisors is an integer number (26941950).

Almost surely, 2^756645032 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 756645032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862142400).

756645032 is an abundant number, since it is smaller than the sum of its proper divisors (967639768).

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

756645032 is a wasteful number, since it uses less digits than its factorization.

756645032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22866 (or 22862 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The square root of 756645032 is about 27507.1814623018. The cubic root of 756645032 is about 911.2357048242.

The spelling of 756645032 in words is "seven hundred fifty-six million, six hundred forty-five thousand, thirty-two".