790905600 has 432 divisors, whose sum is σ = 3041472000. Its totient is φ = 200724480.

The previous prime is 790905551. The next prime is 790905611. The reversal of 790905600 is 6509097.

790905600 is a `hidden beast` number, since 7 + 9 + 0 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×790905600² = 1251063336222720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974301 + ... + 3974499.

Almost surely, 2^790905600 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 790905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520736000).

790905600 is an abundant number, since it is smaller than the sum of its proper divisors (2250566400).

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

790905600 is a wasteful number, since it uses less digits than its factorization.

790905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 790905600 is about 28123.0439319786. The cubic root of 790905600 is about 924.7866466784.

The spelling of 790905600 in words is "seven hundred ninety million, nine hundred five thousand, six hundred".