7845484800 has 216 divisors, whose sum is σ = 25981774560. Its totient is φ = 2084864000.

The previous prime is 7845484793. The next prime is 7845484813. The reversal of 7845484800 is 84845487.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7845484800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7698691 + ... + 7699709.

Almost surely, 2^7845484800 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 7845484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990887280).

7845484800 is an abundant number, since it is smaller than the sum of its proper divisors (18136289760).

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

7845484800 is a wasteful number, since it uses less digits than its factorization.

7845484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 7845484800 is about 88574.7413205367. The cubic root of 7845484800 is about 1987.0399330672.

The spelling of 7845484800 in words is "seven billion, eight hundred forty-five million, four hundred eighty-four thousand, eight hundred".