8328884778000 has 1120 divisors, whose sum is σ = 31219023125472. Its totient is φ = 2146549248000.

The previous prime is 8328884777947. The next prime is 8328884778007. The reversal of 8328884778000 is 8774888238.

8328884778000 is a `hidden beast` number, since 8 + 3 + 2 + 8 + 88 + 477 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8036000326656 + 292884451344 = 2834784^2 + 541188^2 .

It is a super-3 number, since 3×8328884778000³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8328884778007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9764225574 + ... + 9764226426.

Almost surely, 2^{8328884778000} is an apocalyptic number.

8328884778000 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 8328884778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609511562736).

8328884778000 is an abundant number, since it is smaller than the sum of its proper divisors (22890138347472).

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

8328884778000 is a wasteful number, since it uses less digits than its factorization.

8328884778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 8328884778000 in words is "eight trillion, three hundred twenty-eight billion, eight hundred eighty-four million, seven hundred seventy-eight thousand".