800808008 has 96 divisors (see below), whose sum is σ = 2031516480. Its totient is φ = 287971200.

The previous prime is 800807993. The next prime is 800808011.

800808008 is nontrivially palindromic in base 10.

800808008 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83543 + ... + 92633.

It is an arithmetic number, because the mean of its divisors is an integer number (21161630).

Almost surely, 2^800808008 is an apocalyptic number.

800808008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800808008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015758240).

800808008 is an abundant number, since it is smaller than the sum of its proper divisors (1230708472).

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

800808008 is a wasteful number, since it uses less digits than its factorization.

800808008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 800808008 is about 28298.5513410139. The cubic root of 800808008 is about 928.6301983023.

It can be divided in two parts, 80080 and 8008, that added together give a palindrome (88088).

The spelling of 800808008 in words is "eight hundred million, eight hundred eight thousand, eight".