790345920 has 448 divisors, whose sum is σ = 3154314240. Its totient is φ = 163233792.

The previous prime is 790345901. The next prime is 790345931. The reversal of 790345920 is 29543097.

790345920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7250826 + ... + 7250934.

It is an arithmetic number, because the mean of its divisors is an integer number (7040880).

Almost surely, 2^790345920 is an apocalyptic number.

790345920 is a gapful number since it is divisible by the number (70) 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 790345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577157120).

790345920 is an abundant number, since it is smaller than the sum of its proper divisors (2363968320).

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

790345920 is a wasteful number, since it uses less digits than its factorization.

790345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 790345920 is about 28113.0916122720. The cubic root of 790345920 is about 924.5684551408.

The spelling of 790345920 in words is "seven hundred ninety million, three hundred forty-five thousand, nine hundred twenty".