868375200 has 576 divisors, whose sum is σ = 3647766528. Its totient is φ = 174182400.

The previous prime is 868375177. The next prime is 868375201. The reversal of 868375200 is 2573868.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868375201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6837537 + ... + 6837663.

It is an arithmetic number, because the mean of its divisors is an integer number (6332928).

Almost surely, 2^868375200 is an apocalyptic number.

868375200 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 868375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823883264).

868375200 is an abundant number, since it is smaller than the sum of its proper divisors (2779391328).

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

868375200 is a wasteful number, since it uses less digits than its factorization.

868375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 868375200 is about 29468.2065962624. The cubic root of 868375200 is about 954.0456095876.

The spelling of 868375200 in words is "eight hundred sixty-eight million, three hundred seventy-five thousand, two hundred".