756960 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 188928.

The previous prime is 756923. The next prime is 756961. The reversal of 756960 is 69657.

756960 = 286² + 287² + ... + 294².

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756961) by changing a digit.

756960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9079 + ... + 9161.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁷⁵⁶⁹⁶⁰ 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 756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

756960 is an abundant number, since it is smaller than the sum of its proper divisors (1783200).

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

756960 is a wasteful number, since it uses less digits than its factorization.

756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 756960 is about 870.0344820753. The cubic root of 756960 is about 91.1362127061.

The spelling of 756960 in words is "seven hundred fifty-six thousand, nine hundred sixty".