799333920 has 672 divisors, whose sum is σ = 3569650560. Its totient is φ = 164229120.

The previous prime is 799333891. The next prime is 799333921. The reversal of 799333920 is 29333997.

799333920 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 (672).

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

It is not an unprimeable number, because it can be changed into a prime (799333921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8981236 + ... + 8981324.

It is an arithmetic number, because the mean of its divisors is an integer number (5311980).

Almost surely, 2^799333920 is an apocalyptic number.

799333920 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 799333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784825280).

799333920 is an abundant number, since it is smaller than the sum of its proper divisors (2770316640).

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

799333920 is a wasteful number, since it uses less digits than its factorization.

799333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The square root of 799333920 is about 28272.4940534082. The cubic root of 799333920 is about 928.0600560618.

The spelling of 799333920 in words is "seven hundred ninety-nine million, three hundred thirty-three thousand, nine hundred twenty".