8765428906080 has 1920 divisors, whose sum is σ = 39169876838400. Its totient is φ = 1793236008960.

The previous prime is 8765428906079. The next prime is 8765428906141. The reversal of 8765428906080 is 806098245678.

8765428906080 is a `hidden beast` number, since 8 + 7 + 6 + 542 + 8 + 9 + 0 + 6 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8765428905999 and 8765428906017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24831243184 + ... + 24831243536.

It is an arithmetic number, because the mean of its divisors is an integer number (20400977520).

Almost surely, 2^{8765428906080} is an apocalyptic number.

8765428906080 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 8765428906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584938419200).

8765428906080 is an abundant number, since it is smaller than the sum of its proper divisors (30404447932320).

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

8765428906080 is a wasteful number, since it uses less digits than its factorization.

8765428906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 697 counting only the distinct ones).

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

The spelling of 8765428906080 in words is "eight trillion, seven hundred sixty-five billion, four hundred twenty-eight million, nine hundred six thousand, eighty".