848082816 has 192 divisors, whose sum is σ = 2806876800. Its totient is φ = 240768000.

The previous prime is 848082811. The next prime is 848082821. The reversal of 848082816 is 618280848.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (848082811) and next prime (848082821).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848082811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2023855 + ... + 2024273.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^848082816 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 848082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

848082816 is an abundant number, since it is smaller than the sum of its proper divisors (1958793984).

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

848082816 is a wasteful number, since it uses less digits than its factorization.

848082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 848082816 is about 29121.8614789646. The cubic root of 848082816 is about 946.5555098827. Note that the first 4 decimals are identical.

The spelling of 848082816 in words is "eight hundred forty-eight million, eighty-two thousand, eight hundred sixteen".