27760 has 20 divisors (see below), whose sum is σ = 64728. Its totient is φ = 11072.

The previous prime is 27751. The next prime is 27763. The reversal of 27760 is 6772.

27760 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27763) 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 3 ways as a sum of consecutive naturals, for example, 94 + ... + 253.

2²⁷⁷⁶⁰ is an apocalyptic number.

27760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27760 is an abundant number, since it is smaller than the sum of its proper divisors (36968).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32364).

27760 is a wasteful number, since it uses less digits than its factorization.

27760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 27760 is about 166.6133247973. The cubic root of 27760 is about 30.2788809618.

Subtracting from 27760 its product of nonzero digits (588), we obtain a palindrome (27172).

It can be divided in two parts, 27 and 760, that added together give a palindrome (787).

The spelling of 27760 in words is "twenty-seven thousand, seven hundred sixty".