793279872 has 384 divisors, whose sum is σ = 2951961600. Its totient is φ = 205286400.

The previous prime is 793279813. The next prime is 793279897. The reversal of 793279872 is 278972397.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2667168) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2927097 + ... + 2927367.

It is an arithmetic number, because the mean of its divisors is an integer number (7687400).

Almost surely, 2^793279872 is an apocalyptic number.

793279872 is a gapful number since it is divisible by the number (72) 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 793279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475980800).

793279872 is an abundant number, since it is smaller than the sum of its proper divisors (2158681728).

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

793279872 is a wasteful number, since it uses less digits than its factorization.

793279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 294 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 793279872 is about 28165.2245153487. The cubic root of 793279872 is about 925.7111150195.

The spelling of 793279872 in words is "seven hundred ninety-three million, two hundred seventy-nine thousand, eight hundred seventy-two".