205760000 has 100 divisors (see below), whose sum is σ = 514532172. Its totient is φ = 82176000.

The previous prime is 205759991. The next prime is 205760033. The reversal of 205760000 is 67502.

205760000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319679 + ... + 320321.

Almost surely, 2^205760000 is an apocalyptic number.

205760000 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 205760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257266086).

205760000 is an abundant number, since it is smaller than the sum of its proper divisors (308772172).

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

205760000 is an frugal number, since it uses more digits than its factorization.

205760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 205760000 is about 14344.3368616329. The cubic root of 205760000 is about 590.3646123182.

The spelling of 205760000 in words is "two hundred five million, seven hundred sixty thousand".