8076449920 has 384 divisors, whose sum is σ = 24848570880. Its totient is φ = 2456002560.

The previous prime is 8076449881. The next prime is 8076449921. The reversal of 8076449920 is 299446708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8076449921) 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 47 ways as a sum of consecutive naturals, for example, 25477602 + ... + 25477918.

It is an arithmetic number, because the mean of its divisors is an integer number (64709820).

Almost surely, 2^8076449920 is an apocalyptic number.

8076449920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8076449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424285440).

8076449920 is an abundant number, since it is smaller than the sum of its proper divisors (16772120960).

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

8076449920 is a wasteful number, since it uses less digits than its factorization.

8076449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 8076449920 is about 89869.0709866303. The cubic root of 8076449920 is about 2006.3506400086.

The spelling of 8076449920 in words is "eight billion, seventy-six million, four hundred forty-nine thousand, nine hundred twenty".