7772448000 has 144 divisors (see below), whose sum is σ = 25816504896. Its totient is φ = 2072627200.

The previous prime is 7772447987. The next prime is 7772448001. The reversal of 7772448000 is 8442777.

It is a self number, because there is not a number n which added to its sum of digits gives 7772448000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7772448001) 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 15 ways as a sum of consecutive naturals, for example, 55519 + ... + 136481.

It is an arithmetic number, because the mean of its divisors is an integer number (179281284).

Almost surely, 2^7772448000 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 7772448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908252448).

7772448000 is an abundant number, since it is smaller than the sum of its proper divisors (18044056896).

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

7772448000 is an equidigital number, since it uses as much as digits as its factorization.

7772448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80997 (or 80973 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 7772448000 is about 88161.4881907060. The cubic root of 7772448000 is about 1980.8546458426.

The spelling of 7772448000 in words is "seven billion, seven hundred seventy-two million, four hundred forty-eight thousand".