790988800 has 144 divisors (see below), whose sum is σ = 2242356480. Its totient is φ = 271073280.

The previous prime is 790988761. The next prime is 790988881. The reversal of 790988800 is 8889097.

790988800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357297 + ... + 359503.

It is an arithmetic number, because the mean of its divisors is an integer number (15571920).

Almost surely, 2^790988800 is an apocalyptic number.

790988800 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 790988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121178240).

790988800 is an abundant number, since it is smaller than the sum of its proper divisors (1451367680).

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

790988800 is a wasteful number, since it uses less digits than its factorization.

790988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The square root of 790988800 is about 28124.5231070680. The cubic root of 790988800 is about 924.8190734523.

The spelling of 790988800 in words is "seven hundred ninety million, nine hundred eighty-eight thousand, eight hundred".