790071864960 has 512 divisors, whose sum is σ = 2994941952000. Its totient is φ = 173403389952.

The previous prime is 790071864947. The next prime is 790071864991. The reversal of 790071864960 is 69468170097.

It is a self number, because there is not a number n which added to its sum of digits gives 790071864960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33467241 + ... + 33490839.

It is an arithmetic number, because the mean of its divisors is an integer number (5849496000).

Almost surely, 2^790071864960 is an apocalyptic number.

790071864960 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 790071864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497470976000).

790071864960 is an abundant number, since it is smaller than the sum of its proper divisors (2204870087040).

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

790071864960 is a wasteful number, since it uses less digits than its factorization.

790071864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23728 (or 23716 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 790071864960 in words is "seven hundred ninety billion, seventy-one million, eight hundred sixty-four thousand, nine hundred sixty".