216777600 has 384 divisors, whose sum is σ = 858799200. Its totient is φ = 53084160.

The previous prime is 216777571. The next prime is 216777601. The reversal of 216777600 is 6777612.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216777601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1123104 + ... + 1123296.

Almost surely, 2^216777600 is an apocalyptic number.

216777600 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 216777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429399600).

216777600 is an abundant number, since it is smaller than the sum of its proper divisors (642021600).

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

216777600 is a wasteful number, since it uses less digits than its factorization.

216777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 216777600 is about 14723.3691796409. The cubic root of 216777600 is about 600.7191377239.

It can be divided in two parts, 216 and 777600, that multiplied together give a square (167961600 = 12960²).

The spelling of 216777600 in words is "two hundred sixteen million, seven hundred seventy-seven thousand, six hundred".