180978 has 32 divisors (see below), whose sum is σ = 430080. Its totient is φ = 49680.

The previous prime is 180959. The next prime is 181001. The reversal of 180978 is 879081.

180978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180978.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2¹⁸⁰⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040).

180978 is an abundant number, since it is smaller than the sum of its proper divisors (249102).

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

180978 is a wasteful number, since it uses less digits than its factorization.

180978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 180978 is about 425.4150914107. The cubic root of 180978 is about 56.5642363355.

The spelling of 180978 in words is "one hundred eighty thousand, nine hundred seventy-eight".