205420080 has 80 divisors (see below), whose sum is σ = 650386944. Its totient is φ = 53610240.

The previous prime is 205420067. The next prime is 205420093. The reversal of 205420080 is 80024502.

205420080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205420067) and next prime (205420093).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 20385.

Almost surely, 2^205420080 is an apocalyptic number.

205420080 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 205420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325193472).

205420080 is an abundant number, since it is smaller than the sum of its proper divisors (444966864).

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

205420080 is a wasteful number, since it uses less digits than its factorization.

205420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18274 (or 18268 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 205420080 is about 14332.4833856523. The cubic root of 205420080 is about 590.0393347327.

Adding to 205420080 its reverse (80024502), we get a palindrome (285444582).

The spelling of 205420080 in words is "two hundred five million, four hundred twenty thousand, eighty".