275080 has 48 divisors (see below), whose sum is σ = 696780. Its totient is φ = 97152.

The previous prime is 275059. The next prime is 275083. The reversal of 275080 is 80572.

It can be written as a sum of positive squares in 2 ways, for example, as 256036 + 19044 = 506^2 + 138^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (275083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11949 + ... + 11971.

2²⁷⁵⁰⁸⁰ is an apocalyptic number.

275080 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 275080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348390).

275080 is an abundant number, since it is smaller than the sum of its proper divisors (421700).

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

275080 is a wasteful number, since it uses less digits than its factorization.

275080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 275080 is about 524.4806955456. The cubic root of 275080 is about 65.0358776291.

The spelling of 275080 in words is "two hundred seventy-five thousand, eighty".