8722771200 has 864 divisors, whose sum is σ = 37683838080. Its totient is φ = 1946419200.

The previous prime is 8722771193. The next prime is 8722771249. The reversal of 8722771200 is 21772278.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24710224 + ... + 24710576.

Almost surely, 2^8722771200 is an apocalyptic number.

8722771200 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 8722771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841919040).

8722771200 is an abundant number, since it is smaller than the sum of its proper divisors (28961066880).

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

8722771200 is a wasteful number, since it uses less digits than its factorization.

8722771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 8722771200 is about 93395.7772064669. Note that the first 3 decimals coincide. The cubic root of 8722771200 is about 2058.5029497746.

The spelling of 8722771200 in words is "eight billion, seven hundred twenty-two million, seven hundred seventy-one thousand, two hundred".