8784871200 has 720 divisors, whose sum is σ = 37159746624. Its totient is φ = 1978214400.

The previous prime is 8784871181. The next prime is 8784871259. The reversal of 8784871200 is 21784878.

8784871200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48535110 + ... + 48535290.

Almost surely, 2^8784871200 is an apocalyptic number.

8784871200 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 8784871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579873312).

8784871200 is an abundant number, since it is smaller than the sum of its proper divisors (28374875424).

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

8784871200 is a wasteful number, since it uses less digits than its factorization.

8784871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 8784871200 is about 93727.6437343861. The cubic root of 8784871200 is about 2063.3764341289.

The spelling of 8784871200 in words is "eight billion, seven hundred eighty-four million, eight hundred seventy-one thousand, two hundred".