790253568 has 312 divisors, whose sum is σ = 2629704168. Its totient is φ = 226492416.

The previous prime is 790253561. The next prime is 790253579. The reversal of 790253568 is 865352097.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 712249344 = 8832^2 + 26688^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790253561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8146896 + ... + 8146992.

It is an arithmetic number, because the mean of its divisors is an integer number (8428539).

Almost surely, 2^790253568 is an apocalyptic number.

790253568 is a gapful number since it is divisible by the number (78) 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 790253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314852084).

790253568 is an abundant number, since it is smaller than the sum of its proper divisors (1839450600).

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

790253568 is a wasteful number, since it uses less digits than its factorization.

790253568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 790253568 is about 28111.4490555005. The cubic root of 790253568 is about 924.5324417658.

The spelling of 790253568 in words is "seven hundred ninety million, two hundred fifty-three thousand, five hundred sixty-eight".