863788800 has 216 divisors, whose sum is σ = 3258430336. Its totient is φ = 197406720.

The previous prime is 863788789. The next prime is 863788817. The reversal of 863788800 is 8887368.

863788800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×863788800² = 1492262182010880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 863788800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131187 + ... + 137613.

Almost surely, 2^863788800 is an apocalyptic number.

863788800 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 863788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629215168).

863788800 is an abundant number, since it is smaller than the sum of its proper divisors (2394641536).

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

863788800 is a wasteful number, since it uses less digits than its factorization.

863788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 863788800 is about 29390.2841088684. The cubic root of 863788800 is about 952.3630185829.

The spelling of 863788800 in words is "eight hundred sixty-three million, seven hundred eighty-eight thousand, eight hundred".