880208 has 40 divisors (see below), whose sum is σ = 2023680. Its totient is φ = 362880.

The previous prime is 880199. The next prime is 880211. The reversal of 880208 is 802088.

880208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×880208² = 1549532246528, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 880208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3113 + ... + 3383.

It is an arithmetic number, because the mean of its divisors is an integer number (50592).

2⁸⁸⁰²⁰⁸ is an apocalyptic number.

880208 is the 542-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011840).

880208 is an abundant number, since it is smaller than the sum of its proper divisors (1143472).

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

880208 is a wasteful number, since it uses less digits than its factorization.

880208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 880208 is about 938.1940097869. The cubic root of 880208 is about 95.8359466626.

The spelling of 880208 in words is "eight hundred eighty thousand, two hundred eight".