180079744 has 64 divisors (see below), whose sum is σ = 398926080. Its totient is φ = 80409600.

The previous prime is 180079733. The next prime is 180079799. The reversal of 180079744 is 447970081.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 180079697 and 180079706.

It is an unprimeable number.

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, 49839 + ... + 53329.

It is an arithmetic number, because the mean of its divisors is an integer number (6233220).

Almost surely, 2^180079744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199463040).

180079744 is an abundant number, since it is smaller than the sum of its proper divisors (218846336).

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

180079744 is a wasteful number, since it uses less digits than its factorization.

180079744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 180079744 is about 13419.3794193323. The cubic root of 180079744 is about 564.7049849931.

The spelling of 180079744 in words is "one hundred eighty million, seventy-nine thousand, seven hundred forty-four".