180460080 has 120 divisors (see below), whose sum is σ = 608987808. Its totient is φ = 47889408.

The previous prime is 180460067. The next prime is 180460087. The reversal of 180460080 is 80064081.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (180460087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 188884 + ... + 189836.

Almost surely, 2^180460080 is an apocalyptic number.

180460080 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 180460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304493904).

180460080 is an abundant number, since it is smaller than the sum of its proper divisors (428527728).

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

180460080 is a wasteful number, since it uses less digits than its factorization.

180460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 180460080 is about 13433.5430918280. The cubic root of 180460080 is about 565.1022656665.

The spelling of 180460080 in words is "one hundred eighty million, four hundred sixty thousand, eighty".