868222800 has 300 divisors, whose sum is σ = 3155401216. Its totient is φ = 228614400.

The previous prime is 868222787. The next prime is 868222811. The reversal of 868222800 is 8222868.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4114695 + ... + 4114905.

Almost surely, 2^868222800 is an apocalyptic number.

868222800 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 868222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577700608).

868222800 is an abundant number, since it is smaller than the sum of its proper divisors (2287178416).

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

868222800 is a wasteful number, since it uses less digits than its factorization.

868222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

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

The square root of 868222800 is about 29465.6206450840. The cubic root of 868222800 is about 953.9897945983.

The spelling of 868222800 in words is "eight hundred sixty-eight million, two hundred twenty-two thousand, eight hundred".