789840 has 60 divisors (see below), whose sum is σ = 2654964. Its totient is φ = 210432.

The previous prime is 789829. The next prime is 789847. The reversal of 789840 is 48987.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 535824 = 504^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 789795 and 789804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789847) 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 11 ways as a sum of consecutive naturals, for example, 172 + ... + 1268.

2⁷⁸⁹⁸⁴⁰ 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 789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327482).

789840 is an abundant number, since it is smaller than the sum of its proper divisors (1865124).

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

789840 is a wasteful number, since it uses less digits than its factorization.

789840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 789840 is about 888.7294301417. The cubic root of 789840 is about 92.4371133308.

The spelling of 789840 in words is "seven hundred eighty-nine thousand, eight hundred forty".