790875360 has 576 divisors, whose sum is σ = 3257755200. Its totient is φ = 178421760.

The previous prime is 790875359. The next prime is 790875367. The reversal of 790875360 is 63578097.

It is a happy number.

790875360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790875367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8886196 + ... + 8886284.

It is an arithmetic number, because the mean of its divisors is an integer number (5655825).

Almost surely, 2^790875360 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 790875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628877600).

790875360 is an abundant number, since it is smaller than the sum of its proper divisors (2466879840).

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

790875360 is a wasteful number, since it uses less digits than its factorization.

790875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 790875360 is about 28122.5062894472. The cubic root of 790875360 is about 924.7748602298.

The spelling of 790875360 in words is "seven hundred ninety million, eight hundred seventy-five thousand, three hundred sixty".