204769080 has 256 divisors, whose sum is σ = 762048000. Its totient is φ = 48605184.

The previous prime is 204769079. The next prime is 204769091. The reversal of 204769080 is 80967402.

204769080 is a `hidden beast` number, since 20 + 476 + 90 + 80 = 666.

It is a super-2 number, since 2×204769080² = 83860752248092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 348547 + ... + 349133.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2^204769080 is an apocalyptic number.

204769080 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 204769080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

204769080 is an abundant number, since it is smaller than the sum of its proper divisors (557278920).

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

204769080 is a wasteful number, since it uses less digits than its factorization.

204769080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 204769080 is about 14309.7547148789. The cubic root of 204769080 is about 589.4153741608.

The spelling of 204769080 in words is "two hundred four million, seven hundred sixty-nine thousand, eighty".