789656 has 32 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 331296.

The previous prime is 789653. The next prime is 789671. The reversal of 789656 is 656987.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789653) by changing a digit.

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, 3185 + ... + 3423.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁷⁸⁹⁶⁵⁶ 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 789656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

789656 is an abundant number, since it is smaller than the sum of its proper divisors (938344).

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

789656 is a wasteful number, since it uses less digits than its factorization.

789656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 789656 is about 888.6259055418. The cubic root of 789656 is about 92.4299347673.

The spelling of 789656 in words is "seven hundred eighty-nine thousand, six hundred fifty-six".