790401908736 has 616 divisors, whose sum is σ = 2640598951104. Its totient is φ = 234419650560.

The previous prime is 790401908731. The next prime is 790401908771. The reversal of 790401908736 is 637809104097.

It is a happy number.

790401908736 is a `hidden beast` number, since 79 + 0 + 401 + 90 + 87 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (790401908731) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16817061865 + ... + 16817061911.

Almost surely, 2^790401908736 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 790401908736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320299475552).

790401908736 is an abundant number, since it is smaller than the sum of its proper divisors (1850197042368).

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

790401908736 is an frugal number, since it uses more digits than its factorization.

790401908736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 790401908736 in words is "seven hundred ninety billion, four hundred one million, nine hundred eight thousand, seven hundred thirty-six".