76830831743232 has 144 divisors (see below), whose sum is σ = 233727151357952. Its totient is φ = 21948531517440.

The previous prime is 76830831743201. The next prime is 76830831743249. The reversal of 76830831743232 is 23234713803867.

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 15 ways as a sum of consecutive naturals, for example, 36760257 + ... + 38794047.

Almost surely, 2^{76830831743232} 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 76830831743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116863575678976).

76830831743232 is an abundant number, since it is smaller than the sum of its proper divisors (156896319614720).

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

76830831743232 is a wasteful number, since it uses less digits than its factorization.

76830831743232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040844 (or 2040830 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 76830831743232 in words is "seventy-six trillion, eight hundred thirty billion, eight hundred thirty-one million, seven hundred forty-three thousand, two hundred thirty-two".