7848806400 has 216 divisors, whose sum is σ = 28110954690. Its totient is φ = 2092892160.

The previous prime is 7848806353. The next prime is 7848806401. The reversal of 7848806400 is 46088487.

It can be written as a sum of positive squares in 3 ways, for example, as 4737844224 + 3110962176 = 68832^2 + 55776^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7848806401) 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 17 ways as a sum of consecutive naturals, for example, 452284 + ... + 469316.

Almost surely, 2^7848806400 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 7848806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055477345).

7848806400 is an abundant number, since it is smaller than the sum of its proper divisors (20262148290).

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

7848806400 is a wasteful number, since it uses less digits than its factorization.

7848806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17071 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7848806400 is about 88593.4896027919. The cubic root of 7848806400 is about 1987.3203160211.

The spelling of 7848806400 in words is "seven billion, eight hundred forty-eight million, eight hundred six thousand, four hundred".