279720 has 128 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 62208.

The previous prime is 279709. The next prime is 279731. The reversal of 279720 is 27972.

279720 = T₁₀₄ + T₁₀₅ + ... + T₁₄₀.

279720 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (279709) and next prime (279731).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

279720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7542 + ... + 7578.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2²⁷⁹⁷²⁰ is an apocalyptic number.

279720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

279720 is the 432-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 279720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547200).

279720 is an abundant number, since it is smaller than the sum of its proper divisors (814680).

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

279720 is a wasteful number, since it uses less digits than its factorization.

279720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 279720 is about 528.8856209049. The cubic root of 279720 is about 65.3995118220.

It can be divided in two parts, 279 and 720, that added together give a palindrome (999).

The spelling of 279720 in words is "two hundred seventy-nine thousand, seven hundred twenty".