216080800 has 144 divisors (see below), whose sum is σ = 577463040. Its totient is φ = 78474240.

The previous prime is 216080797. The next prime is 216080857. The reversal of 216080800 is 8080612.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 821469 + ... + 821731.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^216080800 is an apocalyptic number.

216080800 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 216080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

216080800 is an abundant number, since it is smaller than the sum of its proper divisors (361382240).

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

216080800 is a wasteful number, since it uses less digits than its factorization.

216080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 216080800 is about 14699.6870714992. The cubic root of 216080800 is about 600.0748054880.

The spelling of 216080800 in words is "two hundred sixteen million, eighty thousand, eight hundred".