8328781440 has 768 divisors, whose sum is σ = 36088416000. Its totient is φ = 1725825024.

The previous prime is 8328781429. The next prime is 8328781463. The reversal of 8328781440 is 441878238.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19877551 + ... + 19877969.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 2^8328781440 is an apocalyptic number.

8328781440 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 8328781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044208000).

8328781440 is an abundant number, since it is smaller than the sum of its proper divisors (27759634560).

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

8328781440 is a wasteful number, since it uses less digits than its factorization.

8328781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8328781440 is about 91262.1577654178. The cubic root of 8328781440 is about 2027.0314574963.

The spelling of 8328781440 in words is "eight billion, three hundred twenty-eight million, seven hundred eighty-one thousand, four hundred forty".