8730943200 has 432 divisors, whose sum is σ = 35536475520. Its totient is φ = 1975772160.

The previous prime is 8730943189. The next prime is 8730943223. The reversal of 8730943200 is 23490378.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5391991 + ... + 5393609.

It is an arithmetic number, because the mean of its divisors is an integer number (82260360).

Almost surely, 2^8730943200 is an apocalyptic number.

8730943200 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 8730943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768237760).

8730943200 is an abundant number, since it is smaller than the sum of its proper divisors (26805532320).

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

8730943200 is a wasteful number, since it uses less digits than its factorization.

8730943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 8730943200 is about 93439.5162658712. The cubic root of 8730943200 is about 2059.1455909395.

The spelling of 8730943200 in words is "eight billion, seven hundred thirty million, nine hundred forty-three thousand, two hundred".