279791120 has 160 divisors (see below), whose sum is σ = 781664256. Its totient is φ = 91123200.

The previous prime is 279791111. The next prime is 279791123. The reversal of 279791120 is 21197972.

It is not an unprimeable number, because it can be changed into a prime (279791123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232447 + ... + 1232673.

Almost surely, 2^279791120 is an apocalyptic number.

279791120 is a gapful number since it is divisible by the number (20) 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 279791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390832128).

279791120 is an abundant number, since it is smaller than the sum of its proper divisors (501873136).

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

279791120 is a wasteful number, since it uses less digits than its factorization.

279791120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 279791120 is about 16726.9578824125. The cubic root of 279791120 is about 654.0505405364.

The spelling of 279791120 in words is "two hundred seventy-nine million, seven hundred ninety-one thousand, one hundred twenty".