8808 has 16 divisors (see below), whose sum is σ = 22080. Its totient is φ = 2928.

The previous prime is 8807. The next prime is 8819. The reversal of 8808 is 8088.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 367 = 8808 / (8 + 8 + 0 + 8).

It is a plaindrome in base 11 and base 16.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1380).

2⁸⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

8808 is an abundant number, since it is smaller than the sum of its proper divisors (13272).

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 (11040).

8808 is a wasteful number, since it uses less digits than its factorization.

8808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8808 is about 93.8509456532. The cubic root of 8808 is about 20.6518566574.

It can be divided in two parts, 880 and 8, that added together give a palindrome (888).

The spelling of 8808 in words is "eight thousand, eight hundred eight".