793838080 has 160 divisors (see below), whose sum is σ = 2246999040. Its totient is φ = 263208960.

The previous prime is 793838063. The next prime is 793838159. The reversal of 793838080 is 80838397.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 793838080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554806 + ... + 556234.

It is an arithmetic number, because the mean of its divisors is an integer number (14043744).

Almost surely, 2^793838080 is an apocalyptic number.

793838080 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 793838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123499520).

793838080 is an abundant number, since it is smaller than the sum of its proper divisors (1453160960).

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

793838080 is a wasteful number, since it uses less digits than its factorization.

793838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 793838080 is about 28175.1322978260. The cubic root of 793838080 is about 925.9281961157.

The spelling of 793838080 in words is "seven hundred ninety-three million, eight hundred thirty-eight thousand, eighty".