790790400 has 162 divisors, whose sum is σ = 2827460090. Its totient is φ = 210862080.

The previous prime is 790790387. The next prime is 790790401. The reversal of 790790400 is 4097097.

It can be written as a sum of positive squares in 3 ways, for example, as 26378496 + 764411904 = 5136^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (790790401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50736 + ... + 64464.

Almost surely, 2^790790400 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 790790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413730045).

790790400 is an abundant number, since it is smaller than the sum of its proper divisors (2036669690).

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

790790400 is a wasteful number, since it uses less digits than its factorization.

790790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 790790400 is about 28120.9957149458. The cubic root of 790790400 is about 924.7417443139.

The spelling of 790790400 in words is "seven hundred ninety million, seven hundred ninety thousand, four hundred".