204307680 has 48 divisors (see below), whose sum is σ = 643570704. Its totient is φ = 54481920.

The previous prime is 204307679. The next prime is 204307687. The reversal of 204307680 is 86703402.

204307680 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204307687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212341 + ... + 213300.

It is an arithmetic number, because the mean of its divisors is an integer number (13407723).

Almost surely, 2^204307680 is an apocalyptic number.

204307680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204307680 is an abundant number, since it is smaller than the sum of its proper divisors (439263024).

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

204307680 is a wasteful number, since it uses less digits than its factorization.

204307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425659 (or 425651 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 204307680 is about 14293.6237532684. The cubic root of 204307680 is about 588.9723372640.

The spelling of 204307680 in words is "two hundred four million, three hundred seven thousand, six hundred eighty".