8226158800 has 60 divisors (see below), whose sum is σ = 19840494636. Its totient is φ = 3277619200.

The previous prime is 8226158797. The next prime is 8226158803. The reversal of 8226158800 is 88516228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8226158797) and next prime (8226158803).

It can be written as a sum of positive squares in 6 ways, for example, as 141991056 + 8084167744 = 11916^2 + 89912^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8226158803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62790 + ... + 142810.

Almost surely, 2^8226158800 is an apocalyptic number.

8226158800 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 8226158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920247318).

8226158800 is an abundant number, since it is smaller than the sum of its proper divisors (11614335836).

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

8226158800 is a wasteful number, since it uses less digits than its factorization.

8226158800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80296 (or 80285 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 8226158800 is about 90698.1741822844. The cubic root of 8226158800 is about 2018.6717078654.

The spelling of 8226158800 in words is "eight billion, two hundred twenty-six million, one hundred fifty-eight thousand, eight hundred".