180289800 has 240 divisors, whose sum is σ = 648172800. Its totient is φ = 46396800.

The previous prime is 180289763. The next prime is 180289807. The reversal of 180289800 is 8982081.

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

It is not an unprimeable number, because it can be changed into a prime (180289807) 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 59 ways as a sum of consecutive naturals, for example, 502021 + ... + 502379.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^180289800 is an apocalyptic number.

180289800 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 180289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324086400).

180289800 is an abundant number, since it is smaller than the sum of its proper divisors (467883000).

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

180289800 is a wasteful number, since it uses less digits than its factorization.

180289800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 180289800 is about 13427.2037297421. The cubic root of 180289800 is about 564.9244684579.

The spelling of 180289800 in words is "one hundred eighty million, two hundred eighty-nine thousand, eight hundred".