8022537120 has 384 divisors, whose sum is σ = 28558172160. Its totient is φ = 1879511040.

The previous prime is 8022537101. The next prime is 8022537121. The reversal of 8022537120 is 217352208.

It is a super-2 number, since 2×8022537120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8022537121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12960171 + ... + 12960789.

It is an arithmetic number, because the mean of its divisors is an integer number (74370240).

Almost surely, 2^8022537120 is an apocalyptic number.

8022537120 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 8022537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279086080).

8022537120 is an abundant number, since it is smaller than the sum of its proper divisors (20535635040).

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

8022537120 is a wasteful number, since it uses less digits than its factorization.

8022537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8022537120 is about 89568.6168253144. The cubic root of 8022537120 is about 2001.8763324711.

Adding to 8022537120 its reverse (217352208), we get a palindrome (8239889328).

The spelling of 8022537120 in words is "eight billion, twenty-two million, five hundred thirty-seven thousand, one hundred twenty".