863000800 has 144 divisors (see below), whose sum is σ = 2191078512. Its totient is φ = 331673600.

The previous prime is 863000797. The next prime is 863000837. The reversal of 863000800 is 8000368.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2722242 + ... + 2722558.

It is an arithmetic number, because the mean of its divisors is an integer number (15215823).

Almost surely, 2^863000800 is an apocalyptic number.

863000800 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 863000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095539256).

863000800 is an abundant number, since it is smaller than the sum of its proper divisors (1328077712).

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

863000800 is a wasteful number, since it uses less digits than its factorization.

863000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 863000800 is about 29376.8752592920. The cubic root of 863000800 is about 952.0733295679.

The spelling of 863000800 in words is "eight hundred sixty-three million, eight hundred", and thus it is an aban number.