680478309 has 48 divisors (see below), whose sum is σ = 1141845120. Its totient is φ = 382492800.

The previous prime is 680478287. The next prime is 680478313. The reversal of 680478309 is 903874086.

It is a happy number.

It is not a de Polignac number, because 680478309 - 2⁵ = 680478277 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680478209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456894 + ... + 1457360.

It is an arithmetic number, because the mean of its divisors is an integer number (23788440).

Almost surely, 2^680478309 is an apocalyptic number.

It is an amenable number.

680478309 is a deficient number, since it is larger than the sum of its proper divisors (461366811).

680478309 is a wasteful number, since it uses less digits than its factorization.

680478309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 680478309 is about 26085.9791650611. The cubic root of 680478309 is about 879.5720668146.

The spelling of 680478309 in words is "six hundred eighty million, four hundred seventy-eight thousand, three hundred nine".