216730800 has 360 divisors, whose sum is σ = 885703728. Its totient is φ = 48384000.

The previous prime is 216730799. The next prime is 216730819. The reversal of 216730800 is 8037612.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514590 + ... + 515010.

Almost surely, 2^216730800 is an apocalyptic number.

216730800 is a gapful number since it is divisible by the number (20) 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 216730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442851864).

216730800 is an abundant number, since it is smaller than the sum of its proper divisors (668972928).

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

216730800 is a wasteful number, since it uses less digits than its factorization.

216730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 216730800 is about 14721.7797837082. The cubic root of 216730800 is about 600.6759049682.

The spelling of 216730800 in words is "two hundred sixteen million, seven hundred thirty thousand, eight hundred".