8722876800 has 768 divisors, whose sum is σ = 34258878720. Its totient is φ = 1926758400.

The previous prime is 8722876759. The next prime is 8722876861. The reversal of 8722876800 is 86782278.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8722876800.

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 95 ways as a sum of consecutive naturals, for example, 77193544 + ... + 77193656.

It is an arithmetic number, because the mean of its divisors is an integer number (44607915).

Almost surely, 2^8722876800 is an apocalyptic number.

8722876800 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 8722876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129439360).

8722876800 is an abundant number, since it is smaller than the sum of its proper divisors (25536001920).

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

8722876800 is a wasteful number, since it uses less digits than its factorization.

8722876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 8722876800 is about 93396.3425408083. The cubic root of 8722876800 is about 2058.5112566543.

The spelling of 8722876800 in words is "eight billion, seven hundred twenty-two million, eight hundred seventy-six thousand, eight hundred".