790991114400 has 720 divisors, whose sum is σ = 2990686583808. Its totient is φ = 203233536000.

The previous prime is 790991114317. The next prime is 790991114429. The reversal of 790991114400 is 4411199097.

790991114400 is a `hidden beast` number, since 7 + 9 + 0 + 99 + 111 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 544384074 + ... + 544385526.

Almost surely, 2^790991114400 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 790991114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495343291904).

790991114400 is an abundant number, since it is smaller than the sum of its proper divisors (2199695469408).

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

790991114400 is a wasteful number, since it uses less digits than its factorization.

790991114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 790991114400 in words is "seven hundred ninety billion, nine hundred ninety-one million, one hundred fourteen thousand, four hundred".