868118800 has 60 divisors (see below), whose sum is σ = 2125059300. Its totient is φ = 340687360.

The previous prime is 868118773. The next prime is 868118813. The reversal of 868118800 is 8811868.

868118800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2347024 + 865771776 = 1532^2 + 29424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726 + ... + 41674.

It is an arithmetic number, because the mean of its divisors is an integer number (35417655).

Almost surely, 2^868118800 is an apocalyptic number.

868118800 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 868118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062529650).

868118800 is an abundant number, since it is smaller than the sum of its proper divisors (1256940500).

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

868118800 is a wasteful number, since it uses less digits than its factorization.

868118800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41020 (or 41009 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The square root of 868118800 is about 29463.8558237037. The cubic root of 868118800 is about 953.9517018797.

The spelling of 868118800 in words is "eight hundred sixty-eight million, one hundred eighteen thousand, eight hundred".