8295880320 has 1536 divisors, whose sum is σ = 40098240000. Its totient is φ = 1560674304.

The previous prime is 8295880309. The next prime is 8295880349. The reversal of 8295880320 is 230885928.

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 191 ways as a sum of consecutive naturals, for example, 436625271 + ... + 436625289.

It is an arithmetic number, because the mean of its divisors is an integer number (26105625).

Almost surely, 2^8295880320 is an apocalyptic number.

8295880320 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 8295880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120000).

8295880320 is an abundant number, since it is smaller than the sum of its proper divisors (31802359680).

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

8295880320 is a wasteful number, since it uses less digits than its factorization.

8295880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8295880320 is about 91081.7233038550. The cubic root of 8295880320 is about 2024.3588130025.

The spelling of 8295880320 in words is "eight billion, two hundred ninety-five million, eight hundred eighty thousand, three hundred twenty".