790558560 has 288 divisors, whose sum is σ = 3046286880. Its totient is φ = 184934400.

The previous prime is 790558529. The next prime is 790558583. The reversal of 790558560 is 65855097.

790558560 is a `hidden beast` number, since 7 + 9 + 0 + 5 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 458500 + ... + 460220.

It is an arithmetic number, because the mean of its divisors is an integer number (10577385).

Almost surely, 2^790558560 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 790558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523143440).

790558560 is an abundant number, since it is smaller than the sum of its proper divisors (2255728320).

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

790558560 is a wasteful number, since it uses less digits than its factorization.

790558560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 790558560 is about 28116.8732258763. The cubic root of 790558560 is about 924.6513650845.

The spelling of 790558560 in words is "seven hundred ninety million, five hundred fifty-eight thousand, five hundred sixty".