7983831312 has 320 divisors, whose sum is σ = 26435808000. Its totient is φ = 2289917952.

The previous prime is 7983831281. The next prime is 7983831319. The reversal of 7983831312 is 2131383897.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7983831319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4045558 + ... + 4047530.

It is an arithmetic number, because the mean of its divisors is an integer number (82611900).

Almost surely, 2^7983831312 is an apocalyptic number.

7983831312 is a gapful number since it is divisible by the number (72) 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 7983831312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217904000).

7983831312 is an abundant number, since it is smaller than the sum of its proper divisors (18451976688).

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

7983831312 is a wasteful number, since it uses less digits than its factorization.

7983831312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2043 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7983831312 is about 89352.2876707698. The cubic root of 7983831312 is about 1998.6517005819.

The spelling of 7983831312 in words is "seven billion, nine hundred eighty-three million, eight hundred thirty-one thousand, three hundred twelve".