180080 has 20 divisors (see below), whose sum is σ = 418872. Its totient is φ = 72000.

The previous prime is 180077. The next prime is 180097. The reversal of 180080 is 80081.

180080 = T₂₃ + T₂₄ + ... + T₁₀₂.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1046 + ... + 1205.

2¹⁸⁰⁰⁸⁰ is an apocalyptic number.

180080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180080 is an abundant number, since it is smaller than the sum of its proper divisors (238792).

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

180080 is a wasteful number, since it uses less digits than its factorization.

180080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

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

The square root of 180080 is about 424.3583391428. The cubic root of 180080 is about 56.4705252586.

Subtracting from 180080 its reverse (80081), we obtain a palindrome (99999).

The spelling of 180080 in words is "one hundred eighty thousand, eighty".