7848720000 has 480 divisors, whose sum is σ = 30819634560. Its totient is φ = 1900800000.

The previous prime is 7848719971. The next prime is 7848720007. The reversal of 7848720000 is 278487.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7848720007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 7919505 + ... + 7920495.

It is an arithmetic number, because the mean of its divisors is an integer number (64207572).

Almost surely, 2^7848720000 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 7848720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409817280).

7848720000 is an abundant number, since it is smaller than the sum of its proper divisors (22970914560).

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

7848720000 is a wasteful number, since it uses less digits than its factorization.

7848720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7848720000 is about 88593.0019809691. The cubic root of 7848720000 is about 1987.3130238251.

Adding to 7848720000 its reverse (278487), we get a palindrome (7848998487).

The spelling of 7848720000 in words is "seven billion, eight hundred forty-eight million, seven hundred twenty thousand".