205288780 has 24 divisors (see below), whose sum is σ = 432356400. Its totient is φ = 81877440.

The previous prime is 205288739. The next prime is 205288781. The reversal of 205288780 is 87882502.

205288780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (205288781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7726 + ... + 21685.

It is an arithmetic number, because the mean of its divisors is an integer number (18014850).

Almost surely, 2^205288780 is an apocalyptic number.

205288780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205288780 is an abundant number, since it is smaller than the sum of its proper divisors (227067620).

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

205288780 is a wasteful number, since it uses less digits than its factorization.

205288780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29769 (or 29767 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 205288780 is about 14327.9021493029. The cubic root of 205288780 is about 589.9135945475.

The spelling of 205288780 in words is "two hundred five million, two hundred eighty-eight thousand, seven hundred eighty".