790904400 has 360 divisors, whose sum is σ = 3006161760. Its totient is φ = 176563200.

The previous prime is 790904357. The next prime is 790904407. The reversal of 790904400 is 4409097.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790904407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1887391 + ... + 1887809.

Almost surely, 2^790904400 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 790904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503080880).

790904400 is an abundant number, since it is smaller than the sum of its proper divisors (2215257360).

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

790904400 is a wasteful number, since it uses less digits than its factorization.

790904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 790904400 is about 28123.0225971534. The cubic root of 790904400 is about 924.7861789679.

The spelling of 790904400 in words is "seven hundred ninety million, nine hundred four thousand, four hundred".