200793680 has 160 divisors (see below), whose sum is σ = 520680960. Its totient is φ = 71751680.

The previous prime is 200793679. The next prime is 200793689. The reversal of 200793680 is 86397002.

It is a self number, because there is not a number n which added to its sum of digits gives 200793680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200793689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2828045 + ... + 2828115.

It is an arithmetic number, because the mean of its divisors is an integer number (3254256).

Almost surely, 2^200793680 is an apocalyptic number.

200793680 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 200793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260340480).

200793680 is an abundant number, since it is smaller than the sum of its proper divisors (319887280).

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

200793680 is a wasteful number, since it uses less digits than its factorization.

200793680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 200793680 is about 14170.1686651924. The cubic root of 200793680 is about 585.5761047363.

The spelling of 200793680 in words is "two hundred million, seven hundred ninety-three thousand, six hundred eighty".