27808 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 12480.

The previous prime is 27803. The next prime is 27809. The reversal of 27808 is 80872.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (27803) by changing a digit.

27808 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 3 ways as a sum of consecutive naturals, for example, 313 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁷⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

27808 is an abundant number, since it is smaller than the sum of its proper divisors (32672).

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

27808 is a wasteful number, since it uses less digits than its factorization.

27808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

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

The square root of 27808 is about 166.7573086854. The cubic root of 27808 is about 30.2963227174.

The spelling of 27808 in words is "twenty-seven thousand, eight hundred eight".