7896096000 has 1152 divisors, whose sum is σ = 33927129600. Its totient is φ = 1791590400.

The previous prime is 7896095971. The next prime is 7896096011. The reversal of 7896096000 is 6906987.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213407982 + ... + 213408018.

Almost surely, 2^7896096000 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 7896096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963564800).

7896096000 is an abundant number, since it is smaller than the sum of its proper divisors (26031033600).

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

7896096000 is a wasteful number, since it uses less digits than its factorization.

7896096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7896096000 is about 88859.9797434143. The cubic root of 7896096000 is about 1991.3035742304.

The spelling of 7896096000 in words is "seven billion, eight hundred ninety-six million, ninety-six thousand".