867988800 has 504 divisors, whose sum is σ = 3603142400. Its totient is φ = 194088960.

The previous prime is 867988741. The next prime is 867988811. The reversal of 867988800 is 8889768.

867988800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7963146 + ... + 7963254.

Almost surely, 2^867988800 is an apocalyptic number.

867988800 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 867988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801571200).

867988800 is an abundant number, since it is smaller than the sum of its proper divisors (2735153600).

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

867988800 is a wasteful number, since it uses less digits than its factorization.

867988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 867988800 is about 29461.6496483140. The cubic root of 867988800 is about 953.9040817030.

It can be divided in two parts, 8679 and 88800, that added together give a palindrome (97479).

The spelling of 867988800 in words is "eight hundred sixty-seven million, nine hundred eighty-eight thousand, eight hundred".