789168 has 40 divisors (see below), whose sum is σ = 2093616. Its totient is φ = 256000.

The previous prime is 789149. The next prime is 789169. The reversal of 789168 is 861987.

It is a super-2 number, since 2×789168² = 1245572264448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (789169) 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, 1768 + ... + 2168.

2⁷⁸⁹¹⁶⁸ 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 789168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046808).

789168 is an abundant number, since it is smaller than the sum of its proper divisors (1304448).

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

789168 is a wasteful number, since it uses less digits than its factorization.

789168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 789168 is about 888.3512818700. The cubic root of 789168 is about 92.4108905662.

The spelling of 789168 in words is "seven hundred eighty-nine thousand, one hundred sixty-eight".