8758407680 has 320 divisors, whose sum is σ = 24135598080. Its totient is φ = 3019161600.

The previous prime is 8758407673. The next prime is 8758407689. The reversal of 8758407680 is 867048578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (8758407689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68963777 + ... + 68963903.

It is an arithmetic number, because the mean of its divisors is an integer number (75423744).

Almost surely, 2^8758407680 is an apocalyptic number.

8758407680 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 8758407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067799040).

8758407680 is an abundant number, since it is smaller than the sum of its proper divisors (15377190400).

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

8758407680 is a wasteful number, since it uses less digits than its factorization.

8758407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 53.

The square root of 8758407680 is about 93586.3648188132. The cubic root of 8758407680 is about 2061.3024471544.

The spelling of 8758407680 in words is "eight billion, seven hundred fifty-eight million, four hundred seven thousand, six hundred eighty".