8456788320 has 96 divisors (see below), whose sum is σ = 26667470592. Its totient is φ = 2252723712.

The previous prime is 8456788303. The next prime is 8456788343. The reversal of 8456788320 is 238876548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462879 + ... + 480801.

It is an arithmetic number, because the mean of its divisors is an integer number (277786152).

Almost surely, 2^8456788320 is an apocalyptic number.

8456788320 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 8456788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333735296).

8456788320 is an abundant number, since it is smaller than the sum of its proper divisors (18210682272).

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

8456788320 is a wasteful number, since it uses less digits than its factorization.

8456788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18924 (or 18916 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 8456788320 is about 91960.7977346869. The cubic root of 8456788320 is about 2037.3633371897.

The spelling of 8456788320 in words is "eight billion, four hundred fifty-six million, seven hundred eighty-eight thousand, three hundred twenty".