821278848 has 192 divisors, whose sum is σ = 2463814080. Its totient is φ = 240936960.

The previous prime is 821278847. The next prime is 821278849. The reversal of 821278848 is 848872128.

It is an interprime number because it is at equal distance from previous prime (821278847) and next prime (821278849).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 821278797 and 821278806.

It is not an unprimeable number, because it can be changed into a prime (821278841) 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, 2640613 + ... + 2640923.

It is an arithmetic number, because the mean of its divisors is an integer number (12832365).

Almost surely, 2^821278848 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 821278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231907040).

821278848 is an abundant number, since it is smaller than the sum of its proper divisors (1642535232).

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

821278848 is a wasteful number, since it uses less digits than its factorization.

821278848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The square root of 821278848 is about 28657.9630818382. The cubic root of 821278848 is about 936.4764905347.

The spelling of 821278848 in words is "eight hundred twenty-one million, two hundred seventy-eight thousand, eight hundred forty-eight".