861328800 has 432 divisors, whose sum is σ = 3334286592. Its totient is φ = 208281600.

The previous prime is 861328789. The next prime is 861328801. The reversal of 861328800 is 8823168.

861328800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (861328801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3794287 + ... + 3794513.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^861328800 is an apocalyptic number.

861328800 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 861328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667143296).

861328800 is an abundant number, since it is smaller than the sum of its proper divisors (2472957792).

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

861328800 is a wasteful number, since it uses less digits than its factorization.

861328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 861328800 is about 29348.4037044607. The cubic root of 861328800 is about 951.4580749216.

The spelling of 861328800 in words is "eight hundred sixty-one million, three hundred twenty-eight thousand, eight hundred".