790053264000 has 4608 divisors, whose sum is σ = 4159791417600. Its totient is φ = 146313216000.

The previous prime is 790053263983. The next prime is 790053264001. The reversal of 790053264000 is 462350097.

790053264000 is a `hidden beast` number, since 7 + 9 + 0 + 0 + 5 + 3 + 2 + 640 + 0 + 0 = 666.

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 (790053264001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 27243215986 + ... + 27243216014.

Almost surely, 2^790053264000 is an apocalyptic number.

790053264000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790053264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079895708800).

790053264000 is an abundant number, since it is smaller than the sum of its proper divisors (3369738153600).

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

790053264000 is a wasteful number, since it uses less digits than its factorization.

790053264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 790053264000 in words is "seven hundred ninety billion, fifty-three million, two hundred sixty-four thousand".