756120960 has 768 divisors, whose sum is σ = 3348864000. Its totient is φ = 160247808.

The previous prime is 756120923. The next prime is 756121033. The reversal of 756120960 is 69021657.

756120960 is a `hidden beast` number, since 7 + 561 + 2 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16087657 + ... + 16087703.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^756120960 is an apocalyptic number.

756120960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674432000).

756120960 is an abundant number, since it is smaller than the sum of its proper divisors (2592743040).

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

756120960 is a wasteful number, since it uses less digits than its factorization.

756120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 756120960 is about 27497.6537180902. The cubic root of 756120960 is about 911.0252743953.

The spelling of 756120960 in words is "seven hundred fifty-six million, one hundred twenty thousand, nine hundred sixty".