180380200 has 384 divisors, whose sum is σ = 607461120. Its totient is φ = 47923200.

The previous prime is 180380171. The next prime is 180380267. The reversal of 180380200 is 2083081.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3403374 + ... + 3403426.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^180380200 is an apocalyptic number.

180380200 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 180380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

180380200 is an abundant number, since it is smaller than the sum of its proper divisors (427080920).

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

180380200 is a wasteful number, since it uses less digits than its factorization.

180380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 180380200 is about 13430.5696081737. The cubic root of 180380200 is about 565.0188732046.

The spelling of 180380200 in words is "one hundred eighty million, three hundred eighty thousand, two hundred".