8722909440 has 1080 divisors, whose sum is σ = 38824426872. Its totient is φ = 1857945600.

The previous prime is 8722909427. The next prime is 8722909451. The reversal of 8722909440 is 449092278.

It can be written as a sum of positive squares in 4 ways, for example, as 4161798144 + 4561111296 = 64512^2 + 67536^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×8722909440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86365390 + ... + 86365490.

Almost surely, 2^8722909440 is an apocalyptic number.

8722909440 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 8722909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412213436).

8722909440 is an abundant number, since it is smaller than the sum of its proper divisors (30101517432).

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

8722909440 is a wasteful number, since it uses less digits than its factorization.

8722909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8722909440 is about 93396.5172798215. The cubic root of 8722909440 is about 2058.5138242218.

The spelling of 8722909440 in words is "eight billion, seven hundred twenty-two million, nine hundred nine thousand, four hundred forty".