8078568960 has 640 divisors, whose sum is σ = 33940684800. Its totient is φ = 1588101120.

The previous prime is 8078568887. The next prime is 8078568961. The reversal of 8078568960 is 698658708.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 8078568960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8078568961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11235481 + ... + 11236199.

It is an arithmetic number, because the mean of its divisors is an integer number (53032320).

Almost surely, 2^8078568960 is an apocalyptic number.

8078568960 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 8078568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970342400).

8078568960 is an abundant number, since it is smaller than the sum of its proper divisors (25862115840).

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

8078568960 is a wasteful number, since it uses less digits than its factorization.

8078568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The square root of 8078568960 is about 89880.8598089716. The cubic root of 8078568960 is about 2006.5260952118.

The spelling of 8078568960 in words is "eight billion, seventy-eight million, five hundred sixty-eight thousand, nine hundred sixty".