279879840 has 384 divisors, whose sum is σ = 1075576320. Its totient is φ = 67682304.

The previous prime is 279879829. The next prime is 279879863. The reversal of 279879840 is 48978972.

279879840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2717229 + ... + 2717331.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^279879840 is an apocalyptic number.

279879840 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 279879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

279879840 is an abundant number, since it is smaller than the sum of its proper divisors (795696480).

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

279879840 is a wasteful number, since it uses less digits than its factorization.

279879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 279879840 is about 16729.6096786506. The cubic root of 279879840 is about 654.1196649981.

The spelling of 279879840 in words is "two hundred seventy-nine million, eight hundred seventy-nine thousand, eight hundred forty".