793789920 has 288 divisors, whose sum is σ = 3377687040. Its totient is φ = 164920320.

The previous prime is 793789903. The next prime is 793789939. The reversal of 793789920 is 29987397.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 107301 + ... + 114459.

It is an arithmetic number, because the mean of its divisors is an integer number (11728080).

Almost surely, 2^793789920 is an apocalyptic number.

793789920 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 793789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688843520).

793789920 is an abundant number, since it is smaller than the sum of its proper divisors (2583897120).

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

793789920 is a wasteful number, since it uses less digits than its factorization.

793789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 793789920 is about 28174.2776304913. The cubic root of 793789920 is about 925.9094712209.

It can be divided in two parts, 79378 and 9920, that added together give a palindrome (89298).

The spelling of 793789920 in words is "seven hundred ninety-three million, seven hundred eighty-nine thousand, nine hundred twenty".