180795 has 16 divisors (see below), whose sum is σ = 306720. Its totient is φ = 90624.

The previous prime is 180793. The next prime is 180797. The reversal of 180795 is 597081.

180795 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180793) and next prime (180797).

It is not a de Polignac number, because 180795 - 2¹ = 180793 is a prime.

180795 is strictly pandigital in base 7.

180795 is a lucky number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180793) 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, 100 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (19170).

2¹⁸⁰⁷⁹⁵ is an apocalyptic number.

180795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

180795 is a deficient number, since it is larger than the sum of its proper divisors (125925).

180795 is a wasteful number, since it uses less digits than its factorization.

180795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 180795 is about 425.1999529633. The cubic root of 180795 is about 56.5451645032.

Adding to 180795 its product of nonzero digits (2520), we get a triangular number (183315 = T₆₀₅).

The spelling of 180795 in words is "one hundred eighty thousand, seven hundred ninety-five".