204400080 has 120 divisors (see below), whose sum is σ = 716347008. Its totient is φ = 52132608.

The previous prime is 204400037. The next prime is 204400109. The reversal of 204400080 is 80004402.

It is a happy number.

204400080 is digitally balanced in base 2, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10389 + ... + 22731.

Almost surely, 2^204400080 is an apocalyptic number.

204400080 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 204400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358173504).

204400080 is an abundant number, since it is smaller than the sum of its proper divisors (511946928).

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

204400080 is a wasteful number, since it uses less digits than its factorization.

204400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12385 (or 12376 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204400080 is about 14296.8555983475. The cubic root of 204400080 is about 589.0611132413.

Adding to 204400080 its reverse (80004402), we get a palindrome (284404482).

The spelling of 204400080 in words is "two hundred four million, four hundred thousand, eighty".