8075331360 has 288 divisors, whose sum is σ = 29946309120. Its totient is φ = 1974067200.

The previous prime is 8075331353. The next prime is 8075331401. The reversal of 8075331360 is 631335708.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843400 + ... + 852920.

It is an arithmetic number, because the mean of its divisors is an integer number (103980240).

Almost surely, 2^8075331360 is an apocalyptic number.

8075331360 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 8075331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973154560).

8075331360 is an abundant number, since it is smaller than the sum of its proper divisors (21870977760).

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

8075331360 is a wasteful number, since it uses less digits than its factorization.

8075331360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 8075331360 is about 89862.8474955028. The cubic root of 8075331360 is about 2006.2580115556.

The spelling of 8075331360 in words is "eight billion, seventy-five million, three hundred thirty-one thousand, three hundred sixty".