204820080 has 120 divisors (see below), whose sum is σ = 674717232. Its totient is φ = 51388416.

The previous prime is 204820079. The next prime is 204820081. The reversal of 204820080 is 80028402.

It is an interprime number because it is at equal distance from previous prime (204820079) and next prime (204820081).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204820080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204820081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67884 + ... + 70836.

Almost surely, 2^204820080 is an apocalyptic number.

204820080 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 204820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337358616).

204820080 is an abundant number, since it is smaller than the sum of its proper divisors (469897152).

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

204820080 is a wasteful number, since it uses less digits than its factorization.

204820080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 204820080 is about 14311.5366051308. The cubic root of 204820080 is about 589.4643035676.

Adding to 204820080 its reverse (80028402), we get a palindrome (284848482).

The spelling of 204820080 in words is "two hundred four million, eight hundred twenty thousand, eighty".