8223720960 has 720 divisors, whose sum is σ = 33757870608. Its totient is φ = 1692794880.

The previous prime is 8223720937. The next prime is 8223720971. The reversal of 8223720960 is 690273228.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200578540 + ... + 200578580.

Almost surely, 2^8223720960 is an apocalyptic number.

8223720960 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 8223720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878935304).

8223720960 is an abundant number, since it is smaller than the sum of its proper divisors (25534149648).

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

8223720960 is a wasteful number, since it uses less digits than its factorization.

8223720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 8223720960 is about 90684.7338861398. The cubic root of 8223720960 is about 2018.4722755839.

The spelling of 8223720960 in words is "eight billion, two hundred twenty-three million, seven hundred twenty thousand, nine hundred sixty".