7983270720 has 504 divisors, whose sum is σ = 30108019032. Its totient is φ = 1934622720.

The previous prime is 7983270709. The next prime is 7983270773. The reversal of 7983270720 is 270723897.

It can be written as a sum of positive squares in 12 ways, for example, as 4941527616 + 3041743104 = 70296^2 + 55152^2 .

It is a super-2 number, since 2×7983270720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 82301712 + ... + 82301808.

It is an arithmetic number, because the mean of its divisors is an integer number (59738133).

Almost surely, 2^7983270720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7983270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054009516).

7983270720 is an abundant number, since it is smaller than the sum of its proper divisors (22124748312).

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

7983270720 is a wasteful number, since it uses less digits than its factorization.

7983270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7983270720 is about 89349.1506394996. The cubic root of 7983270720 is about 1998.6049204361.

The spelling of 7983270720 in words is "seven billion, nine hundred eighty-three million, two hundred seventy thousand, seven hundred twenty".