279680 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 101376.

The previous prime is 279679. The next prime is 279689. The reversal of 279680 is 86972.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12149 + ... + 12171.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

279680 is a Friedman number, since it can be written as 6^7-2^(9-8^0), using all its digits and the basic arithmetic operations.

2²⁷⁹⁶⁸⁰ is an apocalyptic number.

279680 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 279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

279680 is an abundant number, since it is smaller than the sum of its proper divisors (454720).

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

279680 is a wasteful number, since it uses less digits than its factorization.

279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 279680 is about 528.8478041932. The cubic root of 279680 is about 65.3963942935.

It can be divided in two parts, 279 and 680, that added together give a palindrome (959).

The spelling of 279680 in words is "two hundred seventy-nine thousand, six hundred eighty".