8832800000 has 216 divisors, whose sum is σ = 22522480344. Its totient is φ = 3456000000.

The previous prime is 8832799999. The next prime is 8832800021. The reversal of 8832800000 is 82388.

It can be written as a sum of positive squares in 12 ways, for example, as 5982094336 + 2850705664 = 77344^2 + 53392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48799910 + ... + 48800090.

Almost surely, 2^8832800000 is an apocalyptic number.

8832800000 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 8832800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261240172).

8832800000 is an abundant number, since it is smaller than the sum of its proper divisors (13689680344).

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

8832800000 is an frugal number, since it uses more digits than its factorization.

8832800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8832800000 is about 93982.9771820408. The cubic root of 8832800000 is about 2067.1221102840.

Adding to 8832800000 its reverse (82388), we get a palindrome (8832882388).

The spelling of 8832800000 in words is "eight billion, eight hundred thirty-two million, eight hundred thousand".