8222860800 has 1200 divisors, whose sum is σ = 38311333632. Its totient is φ = 1692057600.

The previous prime is 8222860799. The next prime is 8222860819. The reversal of 8222860800 is 80682228.

8222860800 is a `hidden beast` number, since 8 + 22 + 28 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 79833549 + ... + 79833651.

Almost surely, 2^8222860800 is an apocalyptic number.

8222860800 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 8222860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155666816).

8222860800 is an abundant number, since it is smaller than the sum of its proper divisors (30088472832).

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

8222860800 is a wasteful number, since it uses less digits than its factorization.

8222860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8222860800 is about 90679.9911777675. The cubic root of 8222860800 is about 2018.4018991020.

The spelling of 8222860800 in words is "eight billion, two hundred twenty-two million, eight hundred sixty thousand, eight hundred".