275280 has 80 divisors (see below), whose sum is σ = 904704. Its totient is φ = 69120.

The previous prime is 275269. The next prime is 275299. The reversal of 275280 is 82572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 275280.

It is a congruent number.

It is an unprimeable number.

275280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7422 + ... + 7458.

2²⁷⁵²⁸⁰ is an apocalyptic number.

275280 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 275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452352).

275280 is an abundant number, since it is smaller than the sum of its proper divisors (629424).

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

275280 is a wasteful number, since it uses less digits than its factorization.

275280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 275280 is about 524.6713256888. The cubic root of 275280 is about 65.0516354989.

It can be divided in two parts, 275 and 280, that added together give a palindrome (555).

The spelling of 275280 in words is "two hundred seventy-five thousand, two hundred eighty".