8057786880 has 960 divisors, whose sum is σ = 32915393280. Its totient is φ = 1665269760.

The previous prime is 8057786873. The next prime is 8057786897. The reversal of 8057786880 is 886877508.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 8057786880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277854706 + ... + 277854734.

It is an arithmetic number, because the mean of its divisors is an integer number (34286868).

Almost surely, 2^8057786880 is an apocalyptic number.

8057786880 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 8057786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457696640).

8057786880 is an abundant number, since it is smaller than the sum of its proper divisors (24857606400).

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

8057786880 is a wasteful number, since it uses less digits than its factorization.

8057786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 57.

The square root of 8057786880 is about 89765.1763213330. The cubic root of 8057786880 is about 2004.8040247671.

The spelling of 8057786880 in words is "eight billion, fifty-seven million, seven hundred eighty-six thousand, eight hundred eighty".