7959838720 has 128 divisors (see below), whose sum is σ = 20116623600. Its totient is φ = 3015180288.

The previous prime is 7959838717. The next prime is 7959838723. The reversal of 7959838720 is 278389597.

It is an interprime number because it is at equal distance from previous prime (7959838717) and next prime (7959838723).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7959838720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7959838723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3111682 + ... + 3114238.

Almost surely, 2^7959838720 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 7959838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058311800).

7959838720 is an abundant number, since it is smaller than the sum of its proper divisors (12156784880).

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

7959838720 is an equidigital number, since it uses as much as digits as its factorization.

7959838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The square root of 7959838720 is about 89217.9282431508. The cubic root of 7959838720 is about 1996.6476105488.

The spelling of 7959838720 in words is "seven billion, nine hundred fifty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".