786656 has 48 divisors (see below), whose sum is σ = 1749888. Its totient is φ = 345600.

The previous prime is 786629. The next prime is 786659. The reversal of 786656 is 656687.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786659) by changing a digit.

786656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12866 + ... + 12926.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2⁷⁸⁶⁶⁵⁶ 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 786656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944).

786656 is an abundant number, since it is smaller than the sum of its proper divisors (963232).

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

786656 is a wasteful number, since it uses less digits than its factorization.

786656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 786656 is about 886.9362998547. The cubic root of 786656 is about 92.3127353370.

The spelling of 786656 in words is "seven hundred eighty-six thousand, six hundred fifty-six".