180880 has 80 divisors (see below), whose sum is σ = 535680. Its totient is φ = 55296.

The previous prime is 180871. The next prime is 180883. The reversal of 180880 is 88081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (180883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9511 + ... + 9529.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁸⁰⁸⁸⁰ is an apocalyptic number.

180880 is a gapful number since it is divisible by the number (10) 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 180880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

180880 is an abundant number, since it is smaller than the sum of its proper divisors (354800).

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

180880 is a wasteful number, since it uses less digits than its factorization.

180880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 180880 is about 425.2998941923. The cubic root of 180880 is about 56.5540246044.

The spelling of 180880 in words is "one hundred eighty thousand, eight hundred eighty".