789828 has 48 divisors (see below), whose sum is σ = 2041536. Its totient is φ = 236160.

The previous prime is 789823. The next prime is 789829. The reversal of 789828 is 828987.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 789828.

It is not an unprimeable number, because it can be changed into a prime (789823) 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 15 ways as a sum of consecutive naturals, for example, 9475 + ... + 9557.

It is an arithmetic number, because the mean of its divisors is an integer number (42532).

2⁷⁸⁹⁸²⁸ is an apocalyptic number.

789828 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020768).

789828 is an abundant number, since it is smaller than the sum of its proper divisors (1251708).

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

789828 is a wasteful number, since it uses less digits than its factorization.

789828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 789828 is about 888.7226789050. The cubic root of 789828 is about 92.4366451976.

The spelling of 789828 in words is "seven hundred eighty-nine thousand, eight hundred twenty-eight".