204778112 has 128 divisors (see below), whose sum is σ = 517017600. Its totient is φ = 78474240.

The previous prime is 204778109. The next prime is 204778117. The reversal of 204778112 is 211877402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204778117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778493 + ... + 778755.

It is an arithmetic number, because the mean of its divisors is an integer number (4039200).

Almost surely, 2^204778112 is an apocalyptic number.

204778112 is a gapful number since it is divisible by the number (22) 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 204778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258508800).

204778112 is an abundant number, since it is smaller than the sum of its proper divisors (312239488).

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

204778112 is a wasteful number, since it uses less digits than its factorization.

204778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 204778112 is about 14310.0703003165. The cubic root of 204778112 is about 589.4240400548.

The spelling of 204778112 in words is "two hundred four million, seven hundred seventy-eight thousand, one hundred twelve".