8123794560 has 640 divisors, whose sum is σ = 33791408640. Its totient is φ = 1821450240.

The previous prime is 8123794517. The next prime is 8123794589. The reversal of 8123794560 is 654973218.

8123794560 is a `hidden beast` number, since 8 + 12 + 3 + 79 + 4 + 560 = 666.

8123794560 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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 (45).

8123794560 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22135497 + ... + 22135863.

It is an arithmetic number, because the mean of its divisors is an integer number (52799076).

It is a 1-persistent number, because it is pandigital, but 2⋅8123794560 = 16247589120 is not.

Almost surely, 2^8123794560 is an apocalyptic number.

8123794560 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 8123794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895704320).

8123794560 is an abundant number, since it is smaller than the sum of its proper divisors (25667614080).

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

8123794560 is a wasteful number, since it uses less digits than its factorization.

8123794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8123794560 is about 90132.0950605277. The cubic root of 8123794560 is about 2010.2634539947.

The spelling of 8123794560 in words is "eight billion, one hundred twenty-three million, seven hundred ninety-four thousand, five hundred sixty".