8223868800 has 864 divisors, whose sum is σ = 35707960080. Its totient is φ = 1765048320.

The previous prime is 8223868787. The next prime is 8223868811. The reversal of 8223868800 is 88683228.

It is a super-2 number, since 2×8223868800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72777544 + ... + 72777656.

Almost surely, 2^8223868800 is an apocalyptic number.

8223868800 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 8223868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853980040).

8223868800 is an abundant number, since it is smaller than the sum of its proper divisors (27484091280).

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

8223868800 is a wasteful number, since it uses less digits than its factorization.

8223868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8223868800 is about 90685.5490141621. The cubic root of 8223868800 is about 2018.4843710475.

The spelling of 8223868800 in words is "eight billion, two hundred twenty-three million, eight hundred sixty-eight thousand, eight hundred".