180328800 has 144 divisors (see below), whose sum is σ = 591337152. Its totient is φ = 47731200.

The previous prime is 180328769. The next prime is 180328817. The reversal of 180328800 is 8823081.

It is a super-2 number, since 2×180328800² = 65036952218880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544635 + ... + 544965.

It is an arithmetic number, because the mean of its divisors is an integer number (4106508).

Almost surely, 2^180328800 is an apocalyptic number.

180328800 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 180328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295668576).

180328800 is an abundant number, since it is smaller than the sum of its proper divisors (411008352).

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

180328800 is a wasteful number, since it uses less digits than its factorization.

180328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 180328800 is about 13428.6559267858. The cubic root of 180328800 is about 564.9652000390.

It can be divided in two parts, 1803 and 28800, that added together give a palindrome (30603).

The spelling of 180328800 in words is "one hundred eighty million, three hundred twenty-eight thousand, eight hundred".