756128560 has 160 divisors (see below), whose sum is σ = 2069867520. Its totient is φ = 253900800.

The previous prime is 756128537. The next prime is 756128561. The reversal of 756128560 is 65821657.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (756128561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684969 + ... + 686071.

It is an arithmetic number, because the mean of its divisors is an integer number (12936672).

Almost surely, 2^756128560 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 756128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034933760).

756128560 is an abundant number, since it is smaller than the sum of its proper divisors (1313738960).

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

756128560 is a wasteful number, since it uses less digits than its factorization.

756128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 756128560 is about 27497.7919113517. The cubic root of 756128560 is about 911.0283267150.

The spelling of 756128560 in words is "seven hundred fifty-six million, one hundred twenty-eight thousand, five hundred sixty".