200761000 has 64 divisors (see below), whose sum is σ = 512516160. Its totient is φ = 73000000.

The previous prime is 200760983. The next prime is 200761003. The reversal of 200761000 is 167002.

It is not an unprimeable number, because it can be changed into a prime (200761003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1875 + ... + 20125.

It is an arithmetic number, because the mean of its divisors is an integer number (8008065).

Almost surely, 2^200761000 is an apocalyptic number.

200761000 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 200761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256258080).

200761000 is an abundant number, since it is smaller than the sum of its proper divisors (311755160).

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

200761000 is a wasteful number, since it uses less digits than its factorization.

200761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18283 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 200761000 is about 14169.0154915576. The cubic root of 200761000 is about 585.5443347035.

The spelling of 200761000 in words is "two hundred million, seven hundred sixty-one thousand".