27880 has 32 divisors (see below), whose sum is σ = 68040. Its totient is φ = 10240.

The previous prime is 27851. The next prime is 27883. The reversal of 27880 is 8872.

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 8836 = 138^2 + 94^2 .

27880 is an undulating number in base 13.

It is not an unprimeable number, because it can be changed into a prime (27883) by changing a digit.

27880 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 7 ways as a sum of consecutive naturals, for example, 660 + ... + 700.

2²⁷⁸⁸⁰ is an apocalyptic number.

27880 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 27880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020).

27880 is an abundant number, since it is smaller than the sum of its proper divisors (40160).

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

27880 is a wasteful number, since it uses less digits than its factorization.

27880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 27880 is about 166.9730517179. The cubic root of 27880 is about 30.3224477571.

The spelling of 27880 in words is "twenty-seven thousand, eight hundred eighty".