790540358400 has 648 divisors, whose sum is σ = 3062273133920. Its totient is φ = 194563399680.

The previous prime is 790540358381. The next prime is 790540358417. The reversal of 790540358400 is 4853045097.

790540358400 is a `hidden beast` number, since 79 + 0 + 540 + 35 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126544077 + ... + 126550323.

Almost surely, 2^790540358400 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 790540358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531136566960).

790540358400 is an abundant number, since it is smaller than the sum of its proper divisors (2271732775520).

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

790540358400 is a wasteful number, since it uses less digits than its factorization.

790540358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 790540358400 in words is "seven hundred ninety billion, five hundred forty million, three hundred fifty-eight thousand, four hundred".