8727880320 has 192 divisors, whose sum is σ = 30191826600. Its totient is φ = 2323316736.

The previous prime is 8727880303. The next prime is 8727880331. The reversal of 8727880320 is 230887278.

It can be written as a sum of positive squares in 4 ways, for example, as 6276442176 + 2451438144 = 79224^2 + 49512^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 4658904 + ... + 4660776.

Almost surely, 2^8727880320 is an apocalyptic number.

8727880320 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 8727880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095913300).

8727880320 is an abundant number, since it is smaller than the sum of its proper divisors (21463946280).

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

8727880320 is a wasteful number, since it uses less digits than its factorization.

8727880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8727880320 is about 93423.1251885742. The cubic root of 8727880320 is about 2058.9047748996.

The spelling of 8727880320 in words is "eight billion, seven hundred twenty-seven million, eight hundred eighty thousand, three hundred twenty".