180800 has 42 divisors (see below), whose sum is σ = 448818. Its totient is φ = 71680.

The previous prime is 180799. The next prime is 180811. The reversal of 180800 is 8081.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 179776 = 32^2 + 424^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1544 + ... + 1656.

2¹⁸⁰⁸⁰⁰ is an apocalyptic number.

180800 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 180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224409).

180800 is an abundant number, since it is smaller than the sum of its proper divisors (268018).

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

180800 is a wasteful number, since it uses less digits than its factorization.

180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

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

The square root of 180800 is about 425.2058325094. The cubic root of 180800 is about 56.5456857625.

Adding to 180800 its reverse (8081), we get a palindrome (188881).

The spelling of 180800 in words is "one hundred eighty thousand, eight hundred".