180882720 has 240 divisors, whose sum is σ = 676739448. Its totient is φ = 45342720.

The previous prime is 180882707. The next prime is 180882727. The reversal of 180882720 is 27288081.

It can be written as a sum of positive squares in 4 ways, for example, as 148937616 + 31945104 = 12204^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180882727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219910 + ... + 220730.

Almost surely, 2^180882720 is an apocalyptic number.

180882720 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 180882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338369724).

180882720 is an abundant number, since it is smaller than the sum of its proper divisors (495856728).

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

180882720 is a wasteful number, since it uses less digits than its factorization.

180882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 180882720 is about 13449.2646639138. The cubic root of 180882720 is about 565.5430808176.

The spelling of 180882720 in words is "one hundred eighty million, eight hundred eighty-two thousand, seven hundred twenty".