789984 has 72 divisors (see below), whose sum is σ = 2430792. Its totient is φ = 241920.

The previous prime is 789979. The next prime is 790003. The reversal of 789984 is 489987.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

789984 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, 3639 + ... + 3849.

It is an arithmetic number, because the mean of its divisors is an integer number (33761).

2⁷⁸⁹⁹⁸⁴ 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 789984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215396).

789984 is an abundant number, since it is smaller than the sum of its proper divisors (1640808).

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

789984 is a wasteful number, since it uses less digits than its factorization.

789984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 789984 is about 888.8104409828. The cubic root of 789984 is about 92.4427305594.

The spelling of 789984 in words is "seven hundred eighty-nine thousand, nine hundred eighty-four".