7896245760 has 480 divisors, whose sum is σ = 30215753568. Its totient is φ = 1893335040.

The previous prime is 7896245729. The next prime is 7896245761. The reversal of 7896245760 is 675426987.

7896245760 is a `hidden beast` number, since 7 + 8 + 9 + 62 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 7896245697 and 7896245706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7896245761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12279999 + ... + 12280641.

Almost surely, 2^7896245760 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 7896245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107876784).

7896245760 is an abundant number, since it is smaller than the sum of its proper divisors (22319507808).

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

7896245760 is a wasteful number, since it uses less digits than its factorization.

7896245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7896245760 is about 88860.8224134798. The cubic root of 7896245760 is about 1991.3161633942.

The spelling of 7896245760 in words is "seven billion, eight hundred ninety-six million, two hundred forty-five thousand, seven hundred sixty".