275760 has 60 divisors (see below), whose sum is σ = 928512. Its totient is φ = 73344.

The previous prime is 275741. The next prime is 275767. The reversal of 275760 is 67572.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (275767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 529 + ... + 911.

2²⁷⁵⁷⁶⁰ is an apocalyptic number.

275760 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 275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

275760 is an abundant number, since it is smaller than the sum of its proper divisors (652752).

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

275760 is a wasteful number, since it uses less digits than its factorization.

275760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 275760 is about 525.1285556890. The cubic root of 275760 is about 65.0894232713.

It can be divided in two parts, 275 and 760, that added together give a triangular number (1035 = T₄₅).

The spelling of 275760 in words is "two hundred seventy-five thousand, seven hundred sixty".