789723648 has 160 divisors (see below), whose sum is σ = 2671912320. Its totient is φ = 225607680.

The previous prime is 789723631. The next prime is 789723703. The reversal of 789723648 is 846327987.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 789723594 and 789723603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92688 + ... + 100848.

It is an arithmetic number, because the mean of its divisors is an integer number (16699452).

Almost surely, 2^789723648 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 789723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335956160).

789723648 is an abundant number, since it is smaller than the sum of its proper divisors (1882188672).

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

789723648 is an equidigital number, since it uses as much as digits as its factorization.

789723648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8173 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 789723648 is about 28102.0221336473. The cubic root of 789723648 is about 924.3257411140.

The spelling of 789723648 in words is "seven hundred eighty-nine million, seven hundred twenty-three thousand, six hundred forty-eight".