789520 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 309120.

The previous prime is 789511. The next prime is 789527. The reversal of 789520 is 25987.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5611 + ... + 5749.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁷⁸⁹⁵²⁰ 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 789520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

789520 is an abundant number, since it is smaller than the sum of its proper divisors (1085360).

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

789520 is a wasteful number, since it uses less digits than its factorization.

789520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 789520 is about 888.5493796070. The cubic root of 789520 is about 92.4246281558.

It can be divided in two parts, 7 and 89520, that multiplied together give a triangular number (626640 = T₁₁₁₉).

The spelling of 789520 in words is "seven hundred eighty-nine thousand, five hundred twenty".