8223713280 has 576 divisors, whose sum is σ = 31391614800. Its totient is φ = 1981808640.

The previous prime is 8223713279. The next prime is 8223713287. The reversal of 8223713280 is 823173228.

It is a happy number.

8223713280 is a `hidden beast` number, since 8 + 2 + 2 + 371 + 3 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2132222976 + 6091490304 = 46176^2 + 78048^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8223713280² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8223713287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45434790 + ... + 45434970.

Almost surely, 2^8223713280 is an apocalyptic number.

8223713280 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 8223713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15695807400).

8223713280 is an abundant number, since it is smaller than the sum of its proper divisors (23167901520).

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

8223713280 is a wasteful number, since it uses less digits than its factorization.

8223713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8223713280 is about 90684.6915416268. The cubic root of 8223713280 is about 2018.4716472442.

The spelling of 8223713280 in words is "eight billion, two hundred twenty-three million, seven hundred thirteen thousand, two hundred eighty".