880008 has 32 divisors (see below), whose sum is σ = 2261760. Its totient is φ = 285120.

The previous prime is 880007. The next prime is 880021. The reversal of 880008 is 800088.

It is a happy number.

880008 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 (24).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 880008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

2⁸⁸⁰⁰⁰⁸ 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 880008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130880).

880008 is an abundant number, since it is smaller than the sum of its proper divisors (1381752).

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

880008 is a wasteful number, since it uses less digits than its factorization.

880008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

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

The square root of 880008 is about 938.0874159693. The cubic root of 880008 is about 95.8286875295.

The spelling of 880008 in words is "eight hundred eighty thousand, eight".