8020023120 has 480 divisors, whose sum is σ = 29573107200. Its totient is φ = 1940889600.

The previous prime is 8020023107. The next prime is 8020023127. The reversal of 8020023120 is 213200208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8020023093 and 8020023102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020023127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44309430 + ... + 44309610.

It is an arithmetic number, because the mean of its divisors is an integer number (61610640).

Almost surely, 2^8020023120 is an apocalyptic number.

8020023120 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 8020023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786553600).

8020023120 is an abundant number, since it is smaller than the sum of its proper divisors (21553084080).

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

8020023120 is a wasteful number, since it uses less digits than its factorization.

8020023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8020023120 is about 89554.5817923349. The cubic root of 8020023120 is about 2001.6672031640.

Adding to 8020023120 its reverse (213200208), we get a palindrome (8233223328).

The spelling of 8020023120 in words is "eight billion, twenty million, twenty-three thousand, one hundred twenty".