756228880 has 160 divisors (see below), whose sum is σ = 2085580800. Its totient is φ = 251942400.

The previous prime is 756228859. The next prime is 756228923. The reversal of 756228880 is 88822657.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 756228880.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 517591 + ... + 519049.

It is an arithmetic number, because the mean of its divisors is an integer number (13034880).

Almost surely, 2^756228880 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 756228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042790400).

756228880 is an abundant number, since it is smaller than the sum of its proper divisors (1329351920).

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

756228880 is a wasteful number, since it uses less digits than its factorization.

756228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 756228880 is about 27499.6159973189. The cubic root of 756228880 is about 911.0686154194.

The spelling of 756228880 in words is "seven hundred fifty-six million, two hundred twenty-eight thousand, eight hundred eighty".