180516300 has 72 divisors (see below), whose sum is σ = 540330000. Its totient is φ = 46475520.

The previous prime is 180516277. The next prime is 180516311. The reversal of 180516300 is 3615081.

180516300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180516300² = 65172269131380000, which contains 22 as substring.

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, 1675 + ... + 19074.

Almost surely, 2^180516300 is an apocalyptic number.

180516300 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 180516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270165000).

180516300 is an abundant number, since it is smaller than the sum of its proper divisors (359813700).

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

180516300 is a wasteful number, since it uses less digits than its factorization.

180516300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20795 (or 20788 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 180516300 is about 13435.6354520358. The cubic root of 180516300 is about 565.1609430035.

The spelling of 180516300 in words is "one hundred eighty million, five hundred sixteen thousand, three hundred".