7882444800 has 312 divisors, whose sum is σ = 28967307680. Its totient is φ = 2101248000.

The previous prime is 7882444711. The next prime is 7882444811. The reversal of 7882444800 is 84442887.

It is a happy number.

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

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, 2763375 + ... + 2766225.

Almost surely, 2^7882444800 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 7882444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483653840).

7882444800 is an abundant number, since it is smaller than the sum of its proper divisors (21084862880).

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

7882444800 is a wasteful number, since it uses less digits than its factorization.

7882444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 7882444800 is about 88783.1335333463. The cubic root of 7882444800 is about 1990.1553543185.

The spelling of 7882444800 in words is "seven billion, eight hundred eighty-two million, four hundred forty-four thousand, eight hundred".