789569664 has 128 divisors (see below), whose sum is σ = 2270748480. Its totient is φ = 241643520.

The previous prime is 789569653. The next prime is 789569701. The reversal of 789569664 is 466965987.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 789569598 and 789569607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382499 + ... + 1383069.

Almost surely, 2^789569664 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 789569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135374240).

789569664 is an abundant number, since it is smaller than the sum of its proper divisors (1481178816).

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

789569664 is a wasteful number, since it uses less digits than its factorization.

789569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The square root of 789569664 is about 28099.2822684139. The cubic root of 789569664 is about 924.2656607610.

The spelling of 789569664 in words is "seven hundred eighty-nine million, five hundred sixty-nine thousand, six hundred sixty-four".