789820 has 48 divisors (see below), whose sum is σ = 1850688. Its totient is φ = 281600.

The previous prime is 789793. The next prime is 789823. The reversal of 789820 is 28987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7770 + ... + 7870.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2⁷⁸⁹⁸²⁰ 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 789820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344).

789820 is an abundant number, since it is smaller than the sum of its proper divisors (1060868).

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

789820 is a wasteful number, since it uses less digits than its factorization.

789820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 789820 is about 888.7181780520. The cubic root of 789820 is about 92.4363331062.

The spelling of 789820 in words is "seven hundred eighty-nine thousand, eight hundred twenty".