790252320 has 384 divisors, whose sum is σ = 3032951040. Its totient is φ = 170311680.

The previous prime is 790252297. The next prime is 790252339. The reversal of 790252320 is 23252097.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990362 + ... + 1990758.

It is an arithmetic number, because the mean of its divisors is an integer number (7898310).

Almost surely, 2^790252320 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 790252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516475520).

790252320 is an abundant number, since it is smaller than the sum of its proper divisors (2242698720).

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

790252320 is a wasteful number, since it uses less digits than its factorization.

790252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 790252320 is about 28111.4268581301. The cubic root of 790252320 is about 924.5319550793.

The spelling of 790252320 in words is "seven hundred ninety million, two hundred fifty-two thousand, three hundred twenty".