8076440367360 has 432 divisors, whose sum is σ = 28825809405120. Its totient is φ = 2086780354560.

The previous prime is 8076440367341. The next prime is 8076440367389. The reversal of 8076440367360 is 637630446708.

It is a happy number.

8076440367360 is a `hidden beast` number, since 8 + 0 + 76 + 440 + 3 + 6 + 73 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8076440367297 and 8076440367306.

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, 46996471 + ... + 47168009.

It is an arithmetic number, because the mean of its divisors is an integer number (66726410660).

Almost surely, 2^{8076440367360} is an apocalyptic number.

8076440367360 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 8076440367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14412904702560).

8076440367360 is an abundant number, since it is smaller than the sum of its proper divisors (20749369037760).

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

8076440367360 is a wasteful number, since it uses less digits than its factorization.

8076440367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171694 (or 171677 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 8076440367360 in words is "eight trillion, seventy-six billion, four hundred forty million, three hundred sixty-seven thousand, three hundred sixty".