200880 has 100 divisors (see below), whose sum is σ = 720192. Its totient is φ = 51840.

The previous prime is 200869. The next prime is 200881. The reversal of 200880 is 88002.

200880 = T₂₇ + T₂₈ + ... + T₁₀₆.

200880 = 65² + 66² + ... + 95².

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (200881) by changing a digit.

200880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6465 + ... + 6495.

2²⁰⁰⁸⁸⁰ is an apocalyptic number.

200880 is a gapful number since it is divisible by the number (20) 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 200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360096).

200880 is an abundant number, since it is smaller than the sum of its proper divisors (519312).

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

200880 is a wasteful number, since it uses less digits than its factorization.

200880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 200880 is about 448.1963855276. The cubic root of 200880 is about 58.5660004601.

Adding to 200880 its reverse (88002), we get a palindrome (288882).

The spelling of 200880 in words is "two hundred thousand, eight hundred eighty".