868903200 has 720 divisors, whose sum is σ = 3675139776. Its totient is φ = 197683200.

The previous prime is 868903199. The next prime is 868903267. The reversal of 868903200 is 2309868.

It is a tau number, because it is divible by the number of its divisors (720).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16394374 + ... + 16394426.

Almost surely, 2^868903200 is an apocalyptic number.

868903200 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 868903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837569888).

868903200 is an abundant number, since it is smaller than the sum of its proper divisors (2806236576).

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

868903200 is a wasteful number, since it uses less digits than its factorization.

868903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 868903200 is about 29477.1640426958. The cubic root of 868903200 is about 954.2389338636.

The spelling of 868903200 in words is "eight hundred sixty-eight million, nine hundred three thousand, two hundred".