8012759040 has 816 divisors, whose sum is σ = 34351087680. Its totient is φ = 1698693120.

The previous prime is 8012759023. The next prime is 8012759071. The reversal of 8012759040 is 409572108.

8012759040 is a `hidden beast` number, since 8 + 0 + 1 + 27 + 590 + 40 = 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 = 8012758986 and 8012759004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421724151 + ... + 421724169.

Almost surely, 2^8012759040 is an apocalyptic number.

8012759040 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 8012759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175543840).

8012759040 is an abundant number, since it is smaller than the sum of its proper divisors (26338328640).

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

8012759040 is a wasteful number, since it uses less digits than its factorization.

8012759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8012759040 is about 89514.0158857818. The cubic root of 8012759040 is about 2001.0626885798.

The spelling of 8012759040 in words is "eight billion, twelve million, seven hundred fifty-nine thousand, forty".