180284800 has 96 divisors (see below), whose sum is σ = 454189680. Its totient is φ = 70686720.

The previous prime is 180284791. The next prime is 180284803. The reversal of 180284800 is 8482081.

It is a super-2 number, since 2×180284800² = 65005218222080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180284803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169069 + ... + 170131.

Almost surely, 2^180284800 is an apocalyptic number.

180284800 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 180284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227094840).

180284800 is an abundant number, since it is smaller than the sum of its proper divisors (273904880).

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

180284800 is a wasteful number, since it uses less digits than its factorization.

180284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 180284800 is about 13427.0175392751. The cubic root of 180284800 is about 564.9192460355.

The spelling of 180284800 in words is "one hundred eighty million, two hundred eighty-four thousand, eight hundred".