868417800 has 192 divisors, whose sum is σ = 3001147200. Its totient is φ = 206438400.

The previous prime is 868417799. The next prime is 868417801. The reversal of 868417800 is 8714868.

It is an interprime number because it is at equal distance from previous prime (868417799) and next prime (868417801).

It is not an unprimeable number, because it can be changed into a prime (868417801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191560 + ... + 196040.

It is an arithmetic number, because the mean of its divisors is an integer number (15630975).

Almost surely, 2^868417800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868417800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500573600).

868417800 is an abundant number, since it is smaller than the sum of its proper divisors (2132729400).

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

868417800 is a wasteful number, since it uses less digits than its factorization.

868417800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 868417800 is about 29468.9294003023. The cubic root of 868417800 is about 954.0612102475.

The spelling of 868417800 in words is "eight hundred sixty-eight million, four hundred seventeen thousand, eight hundred".