880100 has 36 divisors (see below), whose sum is σ = 2059764. Its totient is φ = 324480.

The previous prime is 880097. The next prime is 880109. The reversal of 880100 is 1088.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 879844 = 16^2 + 938^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 962 + ... + 1638.

2⁸⁸⁰¹⁰⁰ 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 880100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029882).

880100 is an abundant number, since it is smaller than the sum of its proper divisors (1179664).

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

880100 is a wasteful number, since it uses less digits than its factorization.

880100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 880100 is about 938.1364506297. The cubic root of 880100 is about 95.8320268673.

Adding to 880100 its reverse (1088), we get a palindrome (881188).

It can be divided in two parts, 8 and 80100, that added together give a palindrome (80108).

The spelling of 880100 in words is "eight hundred eighty thousand, one hundred".