8002333920 has 192 divisors, whose sum is σ = 28847992320. Its totient is φ = 1826592768.

The previous prime is 8002333909. The next prime is 8002333981. The reversal of 8002333920 is 293332008.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3671391 + ... + 3673569.

It is an arithmetic number, because the mean of its divisors is an integer number (150249960).

Almost surely, 2^8002333920 is an apocalyptic number.

8002333920 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 8002333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423996160).

8002333920 is an abundant number, since it is smaller than the sum of its proper divisors (20845658400).

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

8002333920 is a wasteful number, since it uses less digits than its factorization.

8002333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 8002333920 is about 89455.7651579819. The cubic root of 8002333920 is about 2000.1944744226.

Adding to 8002333920 its reverse (293332008), we get a palindrome (8295665928).

The spelling of 8002333920 in words is "eight billion, two million, three hundred thirty-three thousand, nine hundred twenty".