789760 has 36 divisors (see below), whose sum is σ = 1894788. Its totient is φ = 315392.

The previous prime is 789749. The next prime is 789793. The reversal of 789760 is 67987.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 665856 = 352^2 + 816^2 .

It is a congruent number.

It is an unprimeable number.

789760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 972 + ... + 1588.

It is an arithmetic number, because the mean of its divisors is an integer number (52633).

2⁷⁸⁹⁷⁶⁰ 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 789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947394).

789760 is an abundant number, since it is smaller than the sum of its proper divisors (1105028).

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

789760 is an equidigital number, since it uses as much as digits as its factorization.

789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 789760 is about 888.6844209279. The cubic root of 789760 is about 92.4339923532.

The spelling of 789760 in words is "seven hundred eighty-nine thousand, seven hundred sixty".