789888 has 96 divisors (see below), whose sum is σ = 2441880. Its totient is φ = 225280.

The previous prime is 789883. The next prime is 789941. The reversal of 789888 is 888987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

Its product of digits (258048) is a multiple of the sum of its prime factors (56).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 789888.

It is not an unprimeable number, because it can be changed into a prime (789883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46456 + ... + 46472.

2⁷⁸⁹⁸⁸⁸ 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 789888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220940).

789888 is an abundant number, since it is smaller than the sum of its proper divisors (1651992).

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

789888 is a wasteful number, since it uses less digits than its factorization.

789888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 33 counting only the distinct ones).

The product of its digits is 258048, while the sum is 48.

The square root of 789888 is about 888.7564345759. The cubic root of 789888 is about 92.4389858162.

Subtracting 789888 from its reverse (888987), we obtain a palindrome (99099).

The spelling of 789888 in words is "seven hundred eighty-nine thousand, eight hundred eighty-eight".