8008880 has 80 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 2753280.

The previous prime is 8008877. The next prime is 8008907. The reversal of 8008880 is 888008.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16481 + ... + 16959.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^8008880 is an apocalyptic number.

8008880 is a gapful number since it is divisible by the number (80) 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 8008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

8008880 is an abundant number, since it is smaller than the sum of its proper divisors (13418320).

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

8008880 is a wasteful number, since it uses less digits than its factorization.

8008880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

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

The square root of 8008880 is about 2829.9964664289. The cubic root of 8008880 is about 200.0739726369.

It can be divided in two parts, 8008 and 880, that added together give a palindrome (8888).

The spelling of 8008880 in words is "eight million, eight thousand, eight hundred eighty".