8097360480 has 384 divisors, whose sum is σ = 31304931840. Its totient is φ = 1938401280.

The previous prime is 8097360463. The next prime is 8097360517. The reversal of 8097360480 is 840637908.

It is a happy number.

8097360480 is a `hidden beast` number, since 80 + 97 + 3 + 6 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3943134 + ... + 3945186.

It is an arithmetic number, because the mean of its divisors is an integer number (81523260).

Almost surely, 2^8097360480 is an apocalyptic number.

8097360480 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 8097360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652465920).

8097360480 is an abundant number, since it is smaller than the sum of its proper divisors (23207571360).

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

8097360480 is a wasteful number, since it uses less digits than its factorization.

8097360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8097360480 is about 89985.3348051781. The cubic root of 8097360480 is about 2008.0806806627.

The spelling of 8097360480 in words is "eight billion, ninety-seven million, three hundred sixty thousand, four hundred eighty".