8756398080 has 768 divisors, whose sum is σ = 34814707200. Its totient is φ = 2102132736.

The previous prime is 8756398073. The next prime is 8756398081. The reversal of 8756398080 is 808936578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8756398081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380712949 + ... + 380712971.

It is an arithmetic number, because the mean of its divisors is an integer number (45331650).

Almost surely, 2^8756398080 is an apocalyptic number.

8756398080 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 8756398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407353600).

8756398080 is an abundant number, since it is smaller than the sum of its proper divisors (26058309120).

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

8756398080 is an equidigital number, since it uses as much as digits as its factorization.

8756398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8756398080 is about 93575.6275960787. The cubic root of 8756398080 is about 2061.1447811184.

The spelling of 8756398080 in words is "eight billion, seven hundred fifty-six million, three hundred ninety-eight thousand, eighty".