682768400 has 60 divisors (see below), whose sum is σ = 1684721412. Its totient is φ = 265720320.

The previous prime is 682768393. The next prime is 682768421. The reversal of 682768400 is 4867286.

682768400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11751184 + 671017216 = 3428^2 + 25904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8267 + ... + 37866.

Almost surely, 2^682768400 is an apocalyptic number.

It is an amenable number.

682768400 is an abundant number, since it is smaller than the sum of its proper divisors (1001953012).

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

682768400 is a wasteful number, since it uses less digits than its factorization.

682768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46188 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 682768400 is about 26129.8373511968. The cubic root of 682768400 is about 880.5576699371.

The spelling of 682768400 in words is "six hundred eighty-two million, seven hundred sixty-eight thousand, four hundred".