8780765072040 has 768 divisors, whose sum is σ = 32480657052480. Its totient is φ = 2042678476800.

The previous prime is 8780765072017. The next prime is 8780765072081. The reversal of 8780765072040 is 402705670878.

It is a happy number.

8780765072040 is a `hidden beast` number, since 8 + 7 + 8 + 0 + 76 + 507 + 20 + 40 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 3464355793284 + 5316409278756 = 1861278^2 + 2305734^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 926920744 + ... + 926930216.

Almost surely, 2^{8780765072040} 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 8780765072040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240328526240).

8780765072040 is an abundant number, since it is smaller than the sum of its proper divisors (23699891980440).

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

8780765072040 is a wasteful number, since it uses less digits than its factorization.

8780765072040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 8780765072040 in words is "eight trillion, seven hundred eighty billion, seven hundred sixty-five million, seventy-two thousand, forty".