204000720 has 480 divisors, whose sum is σ = 854945280. Its totient is φ = 39674880.

The previous prime is 204000683. The next prime is 204000733. The reversal of 204000720 is 27000402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204000720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457799 + ... + 2457881.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^204000720 is an apocalyptic number.

204000720 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 204000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

204000720 is an abundant number, since it is smaller than the sum of its proper divisors (650944560).

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

204000720 is a wasteful number, since it uses less digits than its factorization.

204000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 204000720 is about 14282.8820621050. The cubic root of 204000720 is about 588.6772242481.

The spelling of 204000720 in words is "two hundred four million, seven hundred twenty", and thus it is an aban number.