8057780064 has 108 divisors (see below), whose sum is σ = 23213215116. Its totient is φ = 2651336064.

The previous prime is 8057780039. The next prime is 8057780069. The reversal of 8057780064 is 4600877508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8057780069) 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 17 ways as a sum of consecutive naturals, for example, 1795167 + ... + 1799649.

It is an arithmetic number, because the mean of its divisors is an integer number (214937177).

Almost surely, 2^8057780064 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 8057780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606607558).

8057780064 is an abundant number, since it is smaller than the sum of its proper divisors (15155435052).

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

8057780064 is a wasteful number, since it uses less digits than its factorization.

8057780064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8057780064 is about 89765.1383555999. The cubic root of 8057780064 is about 2004.8034594859.

The spelling of 8057780064 in words is "eight billion, fifty-seven million, seven hundred eighty thousand, sixty-four".