756830131200 has 3168 divisors, whose sum is σ = 3567400243200. Its totient is φ = 155271168000.

The previous prime is 756830131193. The next prime is 756830131201. The reversal of 756830131200 is 2131038657.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756830131201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24413875185 + ... + 24413875215.

Almost surely, 2^756830131200 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 756830131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783700121600).

756830131200 is an abundant number, since it is smaller than the sum of its proper divisors (2810570112000).

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

756830131200 is a wasteful number, since it uses less digits than its factorization.

756830131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 756830131200 its reverse (2131038657), we get a palindrome (758961169857).

The spelling of 756830131200 in words is "seven hundred fifty-six billion, eight hundred thirty million, one hundred thirty-one thousand, two hundred".