790400481072 has 160 divisors (see below), whose sum is σ = 2161757638656. Its totient is φ = 248496768000.

The previous prime is 790400481071. The next prime is 790400481083. The reversal of 790400481072 is 270184004097.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (790400481071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11875278 + ... + 11941650.

Almost surely, 2^790400481072 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 790400481072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080878819328).

790400481072 is an abundant number, since it is smaller than the sum of its proper divisors (1371357157584).

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

790400481072 is a wasteful number, since it uses less digits than its factorization.

790400481072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66619 (or 66613 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 790400481072 in words is "seven hundred ninety billion, four hundred million, four hundred eighty-one thousand, seventy-two".