7908096000 has 384 divisors, whose sum is σ = 30090977280. Its totient is φ = 1806336000.

The previous prime is 7908095969. The next prime is 7908096029. The reversal of 7908096000 is 6908097.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 7908096000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375265 + ... + 5376735.

It is an arithmetic number, because the mean of its divisors is an integer number (78361920).

Almost surely, 2^7908096000 is an apocalyptic number.

7908096000 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 7908096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045488640).

7908096000 is an abundant number, since it is smaller than the sum of its proper divisors (22182881280).

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

7908096000 is a wasteful number, since it uses less digits than its factorization.

7908096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 7908096000 is about 88927.4760689856. The cubic root of 7908096000 is about 1992.3118171249.

The spelling of 7908096000 in words is "seven billion, nine hundred eight million, ninety-six thousand".