868320000 has 450 divisors, whose sum is σ = 3283720748. Its totient is φ = 228096000.

The previous prime is 868319993. The next prime is 868320023. The reversal of 868320000 is 23868.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959967 + ... + 12960033.

Almost surely, 2^868320000 is an apocalyptic number.

868320000 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 868320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641860374).

868320000 is an abundant number, since it is smaller than the sum of its proper divisors (2415400748).

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

868320000 is an frugal number, since it uses more digits than its factorization.

868320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 868320000 is about 29467.2699787408. The cubic root of 868320000 is about 954.0253938891.

Adding to 868320000 its reverse (23868), we get a palindrome (868343868).

The spelling of 868320000 in words is "eight hundred sixty-eight million, three hundred twenty thousand".