8065164800 has 480 divisors, whose sum is σ = 25573363200. Its totient is φ = 2498764800.

The previous prime is 8065164761. The next prime is 8065164823. The reversal of 8065164800 is 84615608.

It is a congruent number.

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, 48294317 + ... + 48294483.

It is an arithmetic number, because the mean of its divisors is an integer number (53277840).

Almost surely, 2^8065164800 is an apocalyptic number.

8065164800 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 8065164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786681600).

8065164800 is an abundant number, since it is smaller than the sum of its proper divisors (17508198400).

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

8065164800 is a wasteful number, since it uses less digits than its factorization.

8065164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 8065164800 is about 89806.2625878619. The cubic root of 8065164800 is about 2005.4157217421.

The spelling of 8065164800 in words is "eight billion, sixty-five million, one hundred sixty-four thousand, eight hundred".