8004004800 has 252 divisors, whose sum is σ = 28866178488. Its totient is φ = 1940224000.

The previous prime is 8004004777. The next prime is 8004004817. The reversal of 8004004800 is 84004008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 573910 + ... + 587690.

Almost surely, 2^8004004800 is an apocalyptic number.

8004004800 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 8004004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433089244).

8004004800 is an abundant number, since it is smaller than the sum of its proper divisors (20862173688).

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

8004004800 is a wasteful number, since it uses less digits than its factorization.

8004004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828 (or 13802 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8004004800 is about 89465.1038114862. The cubic root of 8004004800 is about 2000.3336776598. Note that the first 3 decimals are identical.

Adding to 8004004800 its reverse (84004008), we get a palindrome (8088008808).

The spelling of 8004004800 in words is "eight billion, four million, four thousand, eight hundred".