7894848000 has 320 divisors, whose sum is σ = 28276440192. Its totient is φ = 1942732800.

The previous prime is 7894847981. The next prime is 7894848001. The reversal of 7894848000 is 8484987.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7894848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2494419 + ... + 2497581.

Almost surely, 2^7894848000 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 7894848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138220096).

7894848000 is an abundant number, since it is smaller than the sum of its proper divisors (20381592192).

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

7894848000 is a wasteful number, since it uses less digits than its factorization.

7894848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 7894848000 is about 88852.9571820770. The cubic root of 7894848000 is about 1991.1986583411.

The spelling of 7894848000 in words is "seven billion, eight hundred ninety-four million, eight hundred forty-eight thousand".