8723416320 has 108 divisors (see below), whose sum is σ = 30182151636. Its totient is φ = 2326241280.

The previous prime is 8723416307. The next prime is 8723416393. The reversal of 8723416320 is 236143278.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2009908224 + 6713508096 = 44832^2 + 81936^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 367101 + ... + 390140.

It is an arithmetic number, because the mean of its divisors is an integer number (279464367).

Almost surely, 2^8723416320 is an apocalyptic number.

8723416320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8723416320 is an abundant number, since it is smaller than the sum of its proper divisors (21458735316).

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

8723416320 is a wasteful number, since it uses less digits than its factorization.

8723416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757268 (or 757251 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8723416320 is about 93399.2308319506. The cubic root of 8723416320 is about 2058.5536962119.

Adding to 8723416320 its reverse (236143278), we get a palindrome (8959559598).

The spelling of 8723416320 in words is "eight billion, seven hundred twenty-three million, four hundred sixteen thousand, three hundred twenty".