8389516800 has 720 divisors, whose sum is σ = 33671594880. Its totient is φ = 1803141120.

The previous prime is 8389516799. The next prime is 8389516829. The reversal of 8389516800 is 86159838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8389516800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142195171 + ... + 142195229.

It is an arithmetic number, because the mean of its divisors is an integer number (46766104).

Almost surely, 2^8389516800 is an apocalyptic number.

8389516800 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 8389516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835797440).

8389516800 is an abundant number, since it is smaller than the sum of its proper divisors (25282078080).

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

8389516800 is a wasteful number, since it uses less digits than its factorization.

8389516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 8389516800 is about 91594.3054998508. The cubic root of 8389516800 is about 2031.9467198298.

The spelling of 8389516800 in words is "eight billion, three hundred eighty-nine million, five hundred sixteen thousand, eight hundred".