180799488 has 144 divisors (see below), whose sum is σ = 553856940. Its totient is φ = 56623104.

The previous prime is 180799447. The next prime is 180799513. The reversal of 180799488 is 884997081.

It can be written as a sum of positive squares in 2 ways, for example, as 139428864 + 41370624 = 11808^2 + 6432^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×180799488² = 65376909722124288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313056 + ... + 313632.

Almost surely, 2^180799488 is an apocalyptic number.

180799488 is a gapful number since it is divisible by the number (18) 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 180799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276928470).

180799488 is an abundant number, since it is smaller than the sum of its proper divisors (373057452).

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

180799488 is a wasteful number, since it uses less digits than its factorization.

180799488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 180799488 is about 13446.1700123121. The cubic root of 180799488 is about 565.4563238600.

The spelling of 180799488 in words is "one hundred eighty million, seven hundred ninety-nine thousand, four hundred eighty-eight".