200768000 has 80 divisors (see below), whose sum is σ = 500787144. Its totient is φ = 80281600.

The previous prime is 200767999. The next prime is 200768017. The reversal of 200768000 is 867002.

It can be written as a sum of positive squares in 4 ways, for example, as 132342016 + 68425984 = 11504^2 + 8272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62432 + ... + 65568.

Almost surely, 2^200768000 is an apocalyptic number.

200768000 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 200768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250393572).

200768000 is an abundant number, since it is smaller than the sum of its proper divisors (300019144).

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

200768000 is an frugal number, since it uses more digits than its factorization.

200768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 200768000 is about 14169.2625072726. The cubic root of 200768000 is about 585.5511400802.

It can be divided in two parts, 2007 and 68000, that added together give a palindrome (70007).

The spelling of 200768000 in words is "two hundred million, seven hundred sixty-eight thousand".