275880 has 96 divisors (see below), whose sum is σ = 957600. Its totient is φ = 63360.

The previous prime is 275837. The next prime is 275881. The reversal of 275880 is 88572.

275880 = T₃₁ + T₃₂ + ... + T₁₁₈.

It is a super-2 number, since 2×275880² = 152219548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (275881) by changing a digit.

275880 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 23 ways as a sum of consecutive naturals, for example, 14511 + ... + 14529.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

2²⁷⁵⁸⁸⁰ is an apocalyptic number.

275880 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 275880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

275880 is an abundant number, since it is smaller than the sum of its proper divisors (681720).

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

275880 is a wasteful number, since it uses less digits than its factorization.

275880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 275880 is about 525.2428009978. The cubic root of 275880 is about 65.0988633618.

The spelling of 275880 in words is "two hundred seventy-five thousand, eight hundred eighty".