205980080 has 20 divisors (see below), whose sum is σ = 478903872. Its totient is φ = 82392000.

The previous prime is 205980067. The next prime is 205980091. The reversal of 205980080 is 80089502.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1287296 + ... + 1287455.

Almost surely, 2^205980080 is an apocalyptic number.

205980080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205980080 is an abundant number, since it is smaller than the sum of its proper divisors (272923792).

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

205980080 is a wasteful number, since it uses less digits than its factorization.

205980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574764 (or 2574758 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 205980080 is about 14352.0061315483. The cubic root of 205980080 is about 590.5750211248.

The spelling of 205980080 in words is "two hundred five million, nine hundred eighty thousand, eighty".