789864 has 16 divisors (see below), whose sum is σ = 1974720. Its totient is φ = 263280.

The previous prime is 789857. The next prime is 789883. The reversal of 789864 is 468987.

It is a happy number.

It is a plaindrome in base 14.

It is an unprimeable number.

789864 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 3 ways as a sum of consecutive naturals, for example, 16432 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (123420).

2⁷⁸⁹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

789864 is an abundant number, since it is smaller than the sum of its proper divisors (1184856).

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

789864 is a wasteful number, since it uses less digits than its factorization.

789864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32920 (or 32916 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 789864 is about 888.7429324614. The cubic root of 789864 is about 92.4380495830.

It can be divided in two parts, 789 and 864, that added together give a triangular number (1653 = T₅₇).

The spelling of 789864 in words is "seven hundred eighty-nine thousand, eight hundred sixty-four".