796120920 has 512 divisors, whose sum is σ = 3244032000. Its totient is φ = 169827840.

The previous prime is 796120907. The next prime is 796120933. The reversal of 796120920 is 29021697.

It is an interprime number because it is at equal distance from previous prime (796120907) and next prime (796120933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10077441 + ... + 10077519.

It is an arithmetic number, because the mean of its divisors is an integer number (6336000).

Almost surely, 2^796120920 is an apocalyptic number.

796120920 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 796120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622016000).

796120920 is an abundant number, since it is smaller than the sum of its proper divisors (2447911080).

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

796120920 is a wasteful number, since it uses less digits than its factorization.

796120920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 796120920 is about 28215.6148258371. The cubic root of 796120920 is about 926.8149105230.

The spelling of 796120920 in words is "seven hundred ninety-six million, one hundred twenty thousand, nine hundred twenty".