756080860800 has 384 divisors, whose sum is σ = 2523778378560. Its totient is φ = 198933053440.

The previous prime is 756080860793. The next prime is 756080860877. The reversal of 756080860800 is 8068080657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 756080860800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227527939 + ... + 227531261.

Almost surely, 2^756080860800 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 756080860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261889189280).

756080860800 is an abundant number, since it is smaller than the sum of its proper divisors (1767697517760).

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

756080860800 is a wasteful number, since it uses less digits than its factorization.

756080860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 756080860800 in words is "seven hundred fifty-six billion, eighty million, eight hundred sixty thousand, eight hundred".