680407 has 8 divisors (see below), whose sum is σ = 837536. Its totient is φ = 538272.

The previous prime is 680401. The next prime is 680411. The reversal of 680407 is 704086.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 680407 - 2³ = 680399 is a prime.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3648 + ... + 3829.

It is an arithmetic number, because the mean of its divisors is an integer number (104692).

2⁶⁸⁰⁴⁰⁷ is an apocalyptic number.

680407 is a deficient number, since it is larger than the sum of its proper divisors (157129).

680407 is a wasteful number, since it uses less digits than its factorization.

680407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 680407 is about 824.8678682068. The cubic root of 680407 is about 87.9541341566.

The spelling of 680407 in words is "six hundred eighty thousand, four hundred seven".