180000900 has 144 divisors (see below), whose sum is σ = 583643200. Its totient is φ = 47589120.

The previous prime is 180000869. The next prime is 180000901. The reversal of 180000900 is 9000081.

180000900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

180000900 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180000901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439896 + ... + 440304.

Almost surely, 2^180000900 is an apocalyptic number.

180000900 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 180000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291821600).

180000900 is an abundant number, since it is smaller than the sum of its proper divisors (403642300).

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

180000900 is a wasteful number, since it uses less digits than its factorization.

180000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 180000900 is about 13416.4414059765. The cubic root of 180000900 is about 564.6225583631.

Adding to 180000900 its reverse (9000081), we get a palindrome (189000981).

The spelling of 180000900 in words is "one hundred eighty million, nine hundred", and thus it is an aban number.