7957689120 has 432 divisors, whose sum is σ = 29630181672. Its totient is φ = 1937571840.

The previous prime is 7957689097. The next prime is 7957689121. The reversal of 7957689120 is 219867597.

It can be written as a sum of positive squares in 12 ways, for example, as 432473616 + 7525215504 = 20796^2 + 86748^2 .

It is a super-2 number, since 2×7957689120² (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 (7957689121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109009404 + ... + 109009476.

Almost surely, 2^7957689120 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 7957689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815090836).

7957689120 is an abundant number, since it is smaller than the sum of its proper divisors (21672492552).

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

7957689120 is a wasteful number, since it uses less digits than its factorization.

7957689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 7957689120 is about 89205.8805236516. The cubic root of 7957689120 is about 1996.4678589956.

The spelling of 7957689120 in words is "seven billion, nine hundred fifty-seven million, six hundred eighty-nine thousand, one hundred twenty".