180780 has 48 divisors (see below), whose sum is σ = 532224. Its totient is φ = 45760.

The previous prime is 180779. The next prime is 180793. The reversal of 180780 is 87081.

180780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 180780.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2¹⁸⁰⁷⁸⁰ is an apocalyptic number.

180780 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 180780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

180780 is an abundant number, since it is smaller than the sum of its proper divisors (351444).

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

180780 is a wasteful number, since it uses less digits than its factorization.

180780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 180780 is about 425.1823138373. The cubic root of 180780 is about 56.5436006677.

The spelling of 180780 in words is "one hundred eighty thousand, seven hundred eighty".