8057760768 has 220 divisors, whose sum is σ = 25333426360. Its totient is φ = 2544058368.

The previous prime is 8057760757. The next prime is 8057760817. The reversal of 8057760768 is 8670677508.

8057760768 is a `hidden beast` number, since 8 + 0 + 577 + 6 + 0 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1573380 + ... + 1578492.

It is an arithmetic number, because the mean of its divisors is an integer number (115151938).

Almost surely, 2^8057760768 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 8057760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666713180).

8057760768 is an abundant number, since it is smaller than the sum of its proper divisors (17275665592).

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

8057760768 is a wasteful number, since it uses less digits than its factorization.

8057760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 8057760768 is about 89765.0308750574. The cubic root of 8057760768 is about 2004.8018591808.

The spelling of 8057760768 in words is "eight billion, fifty-seven million, seven hundred sixty thousand, seven hundred sixty-eight".