200778816 has 224 divisors, whose sum is σ = 645038080. Its totient is φ = 53913600.

The previous prime is 200778793. The next prime is 200778821. The reversal of 200778816 is 618877002.

200778816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541465 + ... + 2541543.

Almost surely, 2^200778816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322519040).

200778816 is an abundant number, since it is smaller than the sum of its proper divisors (444259264).

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

200778816 is a wasteful number, since it uses less digits than its factorization.

200778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 200778816 is about 14169.6441733729. The cubic root of 200778816 is about 585.5616550484.

The spelling of 200778816 in words is "two hundred million, seven hundred seventy-eight thousand, eight hundred sixteen".