789876 has 36 divisors (see below), whose sum is σ = 2054052. Its totient is φ = 255744.

The previous prime is 789857. The next prime is 789883. The reversal of 789876 is 678987.

789876 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 608400 + 181476 = 780^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

789876 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1036 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (57057).

2⁷⁸⁹⁸⁷⁶ 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 789876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027026).

789876 is an abundant number, since it is smaller than the sum of its proper divisors (1264176).

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

789876 is a wasteful number, since it uses less digits than its factorization.

789876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 789876 is about 888.7496835442. The cubic root of 789876 is about 92.4385177020.

Subtracting from 789876 its reverse (678987), we obtain a square (110889 = 333²).

The spelling of 789876 in words is "seven hundred eighty-nine thousand, eight hundred seventy-six".