8057270340 has 384 divisors, whose sum is σ = 30868992000. Its totient is φ = 1703503872.

The previous prime is 8057270329. The next prime is 8057270363. The reversal of 8057270340 is 430727508.

8057270340 is a `hidden beast` number, since 80 + 572 + 7 + 0 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8057270295 and 8057270304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3086956 + ... + 3089564.

It is an arithmetic number, because the mean of its divisors is an integer number (80388000).

Almost surely, 2^8057270340 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 8057270340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434496000).

8057270340 is an abundant number, since it is smaller than the sum of its proper divisors (22811721660).

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

8057270340 is a wasteful number, since it uses less digits than its factorization.

8057270340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 8057270340 is about 89762.2991015716. The cubic root of 8057270340 is about 2004.7611848983.

Adding to 8057270340 its reverse (430727508), we get a palindrome (8487997848).

The spelling of 8057270340 in words is "eight billion, fifty-seven million, two hundred seventy thousand, three hundred forty".