8000880 has 160 divisors (see below), whose sum is σ = 27480384. Its totient is φ = 1916928.

The previous prime is 8000879. The next prime is 8000887. The reversal of 8000880 is 880008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

8000880 is a modest number, since divided by 880 gives 800 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 8000880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 150934 + ... + 150986.

Almost surely, 2^8000880 is an apocalyptic number.

8000880 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 8000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740192).

8000880 is an abundant number, since it is smaller than the sum of its proper divisors (19479504).

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

8000880 is a wasteful number, since it uses less digits than its factorization.

8000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

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

The square root of 8000880 is about 2828.5826839603. The cubic root of 8000880 is about 200.0073330645.

Adding to 8000880 its reverse (880008), we get a palindrome (8880888).

The spelling of 8000880 in words is "eight million, eight hundred eighty", and thus it is an aban number.