861868800 has 324 divisors, whose sum is σ = 3321287424. Its totient is φ = 211968000.

The previous prime is 861868759. The next prime is 861868807. The reversal of 861868800 is 8868168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (861868807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748225 + ... + 749375.

Almost surely, 2^861868800 is an apocalyptic number.

861868800 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 861868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660643712).

861868800 is an abundant number, since it is smaller than the sum of its proper divisors (2459418624).

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

861868800 is a wasteful number, since it uses less digits than its factorization.

861868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 861868800 is about 29357.6020819140. The cubic root of 861868800 is about 951.6568685479.

The spelling of 861868800 in words is "eight hundred sixty-one million, eight hundred sixty-eight thousand, eight hundred".