8730393600 has 528 divisors, whose sum is σ = 31515284480. Its totient is φ = 2123366400.

The previous prime is 8730393583. The next prime is 8730393601. The reversal of 8730393600 is 63930378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8730393601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45235104 + ... + 45235296.

Almost surely, 2^8730393600 is an apocalyptic number.

8730393600 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 8730393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757642240).

8730393600 is an abundant number, since it is smaller than the sum of its proper divisors (22784890880).

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

8730393600 is a wasteful number, since it uses less digits than its factorization.

8730393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 8730393600 is about 93436.5752797051. The cubic root of 8730393600 is about 2059.1023833066.

The spelling of 8730393600 in words is "eight billion, seven hundred thirty million, three hundred ninety-three thousand, six hundred".