205282080 has 384 divisors, whose sum is σ = 787449600. Its totient is φ = 49766400.

The previous prime is 205282073. The next prime is 205282151. The reversal of 205282080 is 80282502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365250 + ... + 3365310.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 2^205282080 is an apocalyptic number.

205282080 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 205282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

205282080 is an abundant number, since it is smaller than the sum of its proper divisors (582167520).

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

205282080 is a wasteful number, since it uses less digits than its factorization.

205282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 205282080 is about 14327.6683378699. The cubic root of 205282080 is about 589.9071768172.

The spelling of 205282080 in words is "two hundred five million, two hundred eighty-two thousand, eighty".