8004848800 has 144 divisors (see below), whose sum is σ = 21313635840. Its totient is φ = 2917923840.

The previous prime is 8004848783. The next prime is 8004848833. The reversal of 8004848800 is 88484008.

It is a super-2 number, since 2×8004848800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 816729 + ... + 826471.

It is an arithmetic number, because the mean of its divisors is an integer number (148011360).

Almost surely, 2^8004848800 is an apocalyptic number.

8004848800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10656817920).

8004848800 is an abundant number, since it is smaller than the sum of its proper divisors (13308787040).

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

8004848800 is a wasteful number, since it uses less digits than its factorization.

8004848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8004848800 is about 89469.8206100806. The cubic root of 8004848800 is about 2000.4039850592.

The spelling of 8004848800 in words is "eight billion, four million, eight hundred forty-eight thousand, eight hundred".