27980 has 12 divisors (see below), whose sum is σ = 58800. Its totient is φ = 11184.

The previous prime is 27967. The next prime is 27983. The reversal of 27980 is 8972.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 680 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2²⁷⁹⁸⁰ is an apocalyptic number.

27980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27980 is an abundant number, since it is smaller than the sum of its proper divisors (30820).

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 (29400).

27980 is a wasteful number, since it uses less digits than its factorization.

27980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 27980 is about 167.2722332009. The cubic root of 27980 is about 30.3586580229.

The spelling of 27980 in words is "twenty-seven thousand, nine hundred eighty".