786680 has 32 divisors (see below), whose sum is σ = 1801440. Its totient is φ = 309120.

The previous prime is 786673. The next prime is 786691. The reversal of 786680 is 86687.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 786680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2702 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (56295).

2⁷⁸⁶⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 786680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900720).

786680 is an abundant number, since it is smaller than the sum of its proper divisors (1014760).

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

786680 is a wasteful number, since it uses less digits than its factorization.

786680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 786680 is about 886.9498294718. The cubic root of 786680 is about 92.3136741138.

The spelling of 786680 in words is "seven hundred eighty-six thousand, six hundred eighty".