200781680 has 80 divisors (see below), whose sum is σ = 512967168. Its totient is φ = 72480000.

The previous prime is 200781673. The next prime is 200781689. The reversal of 200781680 is 86187002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200781689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132125 + ... + 133635.

Almost surely, 2^200781680 is an apocalyptic number.

200781680 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 200781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

200781680 is an abundant number, since it is smaller than the sum of its proper divisors (312185488).

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

200781680 is a wasteful number, since it uses less digits than its factorization.

200781680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 200781680 is about 14169.7452341247. The cubic root of 200781680 is about 585.5644392741.

The spelling of 200781680 in words is "two hundred million, seven hundred eighty-one thousand, six hundred eighty".