8227794960 has 960 divisors, whose sum is σ = 37103339520. Its totient is φ = 1582571520.

The previous prime is 8227794959. The next prime is 8227794961. The reversal of 8227794960 is 694977228.

8227794960 is a `hidden beast` number, since 82 + 2 + 7 + 79 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8227794959) and next prime (8227794961).

It is a junction number, because it is equal to n+sod(n) for n = 8227794897 and 8227794906.

It is not an unprimeable number, because it can be changed into a prime (8227794961) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 76895227 + ... + 76895333.

It is an arithmetic number, because the mean of its divisors is an integer number (38649312).

Almost surely, 2^8227794960 is an apocalyptic number.

8227794960 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 8227794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551669760).

8227794960 is an abundant number, since it is smaller than the sum of its proper divisors (28875544560).

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

8227794960 is a wasteful number, since it uses less digits than its factorization.

8227794960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8227794960 is about 90707.1935405346. The cubic root of 8227794960 is about 2018.8055350472.

The spelling of 8227794960 in words is "eight billion, two hundred twenty-seven million, seven hundred ninety-four thousand, nine hundred sixty".