180090880 has 96 divisors (see below), whose sum is σ = 443242800. Its totient is φ = 70189056.

The previous prime is 180090871. The next prime is 180090881. The reversal of 180090880 is 88090081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180090881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440116 + ... + 440524.

Almost surely, 2^180090880 is an apocalyptic number.

180090880 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 180090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221621400).

180090880 is an abundant number, since it is smaller than the sum of its proper divisors (263151920).

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

180090880 is an equidigital number, since it uses as much as digits as its factorization.

180090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 180090880 is about 13419.7943352348. The cubic root of 180090880 is about 564.7166250680.

The spelling of 180090880 in words is "one hundred eighty million, ninety thousand, eight hundred eighty".