8780383825920 has 1040 divisors, whose sum is σ = 36141266988288. Its totient is φ = 1997503856640.

The previous prime is 8780383825901. The next prime is 8780383825933. The reversal of 8780383825920 is 295283830878.

8780383825920 is a `hidden beast` number, since 8 + 7 + 8 + 0 + 3 + 8 + 38 + 2 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2635958655 + ... + 2635961985.

Almost surely, 2^{8780383825920} is an apocalyptic number.

8780383825920 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 8780383825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070633494144).

8780383825920 is an abundant number, since it is smaller than the sum of its proper divisors (27360883162368).

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

8780383825920 is a wasteful number, since it uses less digits than its factorization.

8780383825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 8780383825920 in words is "eight trillion, seven hundred eighty billion, three hundred eighty-three million, eight hundred twenty-five thousand, nine hundred twenty".