8802304000 has 256 divisors, whose sum is σ = 25190605440. Its totient is φ = 3008102400.

The previous prime is 8802303989. The next prime is 8802304031. The reversal of 8802304000 is 4032088.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28671847 + ... + 28672153.

Almost surely, 2^8802304000 is an apocalyptic number.

8802304000 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 8802304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595302720).

8802304000 is an abundant number, since it is smaller than the sum of its proper divisors (16388301440).

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

8802304000 is an frugal number, since it uses more digits than its factorization.

8802304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8802304000 is about 93820.5947540304. The cubic root of 8802304000 is about 2064.7403949922.

Adding to 8802304000 its reverse (4032088), we get a palindrome (8806336088).

The spelling of 8802304000 in words is "eight billion, eight hundred two million, three hundred four thousand".