802008 has 64 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 258336.

The previous prime is 802007. The next prime is 802019. The reversal of 802008 is 800208.

802008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10113 + ... + 10191.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁸⁰²⁰⁰⁸ 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 802008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152000).

802008 is an abundant number, since it is smaller than the sum of its proper divisors (1501992).

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

802008 is a wasteful number, since it uses less digits than its factorization.

802008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

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

The square root of 802008 is about 895.5489936346. The cubic root of 802008 is about 92.9093810326.

It can be divided in two parts, 80200 and 8, that added together give a palindrome (80208).

The spelling of 802008 in words is "eight hundred two thousand, eight".