8377880448 has 384 divisors, whose sum is σ = 27326730240. Its totient is φ = 2264371200.

The previous prime is 8377880443. The next prime is 8377880471. The reversal of 8377880448 is 8440887738.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8377880443) 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 47 ways as a sum of consecutive naturals, for example, 30914553 + ... + 30914823.

It is an arithmetic number, because the mean of its divisors is an integer number (71163360).

Almost surely, 2^8377880448 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 8377880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663365120).

8377880448 is an abundant number, since it is smaller than the sum of its proper divisors (18948849792).

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

8377880448 is a wasteful number, since it uses less digits than its factorization.

8377880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The square root of 8377880448 is about 91530.7623042658. The cubic root of 8377880448 is about 2031.0068410113.

The spelling of 8377880448 in words is "eight billion, three hundred seventy-seven million, eight hundred eighty thousand, four hundred forty-eight".