863930880 has 320 divisors, whose sum is σ = 3181939200. Its totient is φ = 221921280.

The previous prime is 863930863. The next prime is 863930887. The reversal of 863930880 is 88039368.

863930880 is a `hidden beast` number, since 8 + 639 + 3 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (863930887) 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 31 ways as a sum of consecutive naturals, for example, 2004265 + ... + 2004695.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2^863930880 is an apocalyptic number.

863930880 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 863930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

863930880 is an abundant number, since it is smaller than the sum of its proper divisors (2318008320).

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

863930880 is a wasteful number, since it uses less digits than its factorization.

863930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 863930880 is about 29392.7011348056. The cubic root of 863930880 is about 952.4152320868.

The spelling of 863930880 in words is "eight hundred sixty-three million, nine hundred thirty thousand, eight hundred eighty".