200788900 has 81 divisors (see below), whose sum is σ = 476174601. Its totient is φ = 73457280.

The previous prime is 200788879. The next prime is 200788927. The reversal of 200788900 is 9887002.

It is a happy number.

The square root of 200788900 is 14170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 161951076 + 38837824 = 12726^2 + 6232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1842046 + ... + 1842154.

Almost surely, 2^200788900 is an apocalyptic number.

200788900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200788900 is the 14170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200788900

200788900 is an abundant number, since it is smaller than the sum of its proper divisors (275385701).

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

200788900 is a wasteful number, since it uses less digits than its factorization.

200788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The cubic root of 200788900 is about 585.5714580496.

The spelling of 200788900 in words is "two hundred million, seven hundred eighty-eight thousand, nine hundred".