8782848000 has 336 divisors, whose sum is σ = 31696386696. Its totient is φ = 2339635200.

The previous prime is 8782847977. The next prime is 8782848001. The reversal of 8782848000 is 8482878.

It can be written as a sum of positive squares in 4 ways, for example, as 2249035776 + 6533812224 = 47424^2 + 80832^2 .

It is a super-2 number, since 2×8782848000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8782848001) 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, 9215524 + ... + 9216476.

Almost surely, 2^8782848000 is an apocalyptic number.

8782848000 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 8782848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848193348).

8782848000 is an abundant number, since it is smaller than the sum of its proper divisors (22913538696).

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

8782848000 is an equidigital number, since it uses as much as digits as its factorization.

8782848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 8782848000 is about 93716.8501391292. The cubic root of 8782848000 is about 2063.2180199785.

The spelling of 8782848000 in words is "eight billion, seven hundred eighty-two million, eight hundred forty-eight thousand".