216777200 has 120 divisors (see below), whose sum is σ = 560455200. Its totient is φ = 80281600.

The previous prime is 216777193. The next prime is 216777221. The reversal of 216777200 is 2777612.

It is a happy number.

It is a congruent number.

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, 482576 + ... + 483024.

It is an arithmetic number, because the mean of its divisors is an integer number (4670460).

Almost surely, 2^216777200 is an apocalyptic number.

216777200 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 216777200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280227600).

216777200 is an abundant number, since it is smaller than the sum of its proper divisors (343678000).

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

216777200 is a wasteful number, since it uses less digits than its factorization.

216777200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 216777200 is about 14723.3555957873. The cubic root of 216777200 is about 600.7187682395.

The spelling of 216777200 in words is "two hundred sixteen million, seven hundred seventy-seven thousand, two hundred".