218080800 has 216 divisors, whose sum is σ = 879068736. Its totient is φ = 49835520.

The previous prime is 218080787. The next prime is 218080801. The reversal of 218080800 is 8080812.

218080800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218080801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48237 + ... + 52563.

Almost surely, 2^218080800 is an apocalyptic number.

218080800 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 218080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439534368).

218080800 is an abundant number, since it is smaller than the sum of its proper divisors (660987936).

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

218080800 is a wasteful number, since it uses less digits than its factorization.

218080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 218080800 is about 14767.5590400039. The cubic root of 218080800 is about 601.9205128253.

The spelling of 218080800 in words is "two hundred eighteen million, eighty thousand, eight hundred".