205966780 has 24 divisors (see below), whose sum is σ = 443081520. Its totient is φ = 80376960.

The previous prime is 205966769. The next prime is 205966801. The reversal of 205966780 is 87669502.

205966780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124770 + ... + 126409.

It is an arithmetic number, because the mean of its divisors is an integer number (18461730).

Almost surely, 2^205966780 is an apocalyptic number.

205966780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205966780 is an abundant number, since it is smaller than the sum of its proper divisors (237114740).

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

205966780 is a wasteful number, since it uses less digits than its factorization.

205966780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251229 (or 251227 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 205966780 is about 14351.5427742107. The cubic root of 205966780 is about 590.5623098360.

The spelling of 205966780 in words is "two hundred five million, nine hundred sixty-six thousand, seven hundred eighty".