7982857120 has 192 divisors, whose sum is σ = 22770671616. Its totient is φ = 2586608640.

The previous prime is 7982857109. The next prime is 7982857121. The reversal of 7982857120 is 217582897.

It is not an unprimeable number, because it can be changed into a prime (7982857121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490287 + ... + 1495633.

It is an arithmetic number, because the mean of its divisors is an integer number (118597248).

Almost surely, 2^7982857120 is an apocalyptic number.

7982857120 is a gapful number since it is divisible by the number (70) 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 7982857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385335808).

7982857120 is an abundant number, since it is smaller than the sum of its proper divisors (14787814496).

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

7982857120 is a wasteful number, since it uses less digits than its factorization.

7982857120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

The square root of 7982857120 is about 89346.8360939547. The cubic root of 7982857120 is about 1998.5704050393.

The spelling of 7982857120 in words is "seven billion, nine hundred eighty-two million, eight hundred fifty-seven thousand, one hundred twenty".