8802 has 16 divisors (see below), whose sum is σ = 19680. Its totient is φ = 2916.

The previous prime is 8783. The next prime is 8803. The reversal of 8802 is 2088.

8802 is nontrivially palindromic in base 4 and base 7.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

8802 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 28 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (1230).

2⁸⁸⁰² is an apocalyptic number.

8802 is an abundant number, since it is smaller than the sum of its proper divisors (10878).

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 (9840).

8802 is a wasteful number, since it uses less digits than its factorization.

8802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8802 is about 93.8189746267. The cubic root of 8802 is about 20.6471662514.

The spelling of 8802 in words is "eight thousand, eight hundred two".