205780200 has 96 divisors (see below), whose sum is σ = 648842400. Its totient is φ = 53935360.

The previous prime is 205780181. The next prime is 205780207. The reversal of 205780200 is 2087502.

205780200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (205780207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32494 + ... + 38306.

It is an arithmetic number, because the mean of its divisors is an integer number (6758775).

Almost surely, 2^205780200 is an apocalyptic number.

205780200 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 205780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324421200).

205780200 is an abundant number, since it is smaller than the sum of its proper divisors (443062200).

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

205780200 is a wasteful number, since it uses less digits than its factorization.

205780200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 205780200 is about 14345.0409549781. The cubic root of 205780200 is about 590.3839309013.

The spelling of 205780200 in words is "two hundred five million, seven hundred eighty thousand, two hundred".