823786848 has 120 divisors (see below), whose sum is σ = 2450642040. Its totient is φ = 271434240.

The previous prime is 823786807. The next prime is 823786853. The reversal of 823786848 is 848687328.

823786848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 823786794 and 823786803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228903 + ... + 232473.

It is an arithmetic number, because the mean of its divisors is an integer number (20422017).

Almost surely, 2^823786848 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 823786848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225321020).

823786848 is an abundant number, since it is smaller than the sum of its proper divisors (1626855192).

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

823786848 is a wasteful number, since it uses less digits than its factorization.

823786848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3665 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 823786848 is about 28701.6871977938. The cubic root of 823786848 is about 937.4287843504.

The spelling of 823786848 in words is "eight hundred twenty-three million, seven hundred eighty-six thousand, eight hundred forty-eight".