863766764 has 48 divisors (see below), whose sum is σ = 1801820160. Its totient is φ = 354516480.

The previous prime is 863766737. The next prime is 863766767. The reversal of 863766764 is 467667368.

It is a happy number.

863766764 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-3 number, since 3×863766764³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (863766767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79067 + ... + 89325.

It is an arithmetic number, because the mean of its divisors is an integer number (37537920).

Almost surely, 2^863766764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863766764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900910080).

863766764 is an abundant number, since it is smaller than the sum of its proper divisors (938053396).

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

863766764 is a wasteful number, since it uses less digits than its factorization.

863766764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10396 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 53.

The square root of 863766764 is about 29389.9092206832. The cubic root of 863766764 is about 952.3549199791.

The spelling of 863766764 in words is "eight hundred sixty-three million, seven hundred sixty-six thousand, seven hundred sixty-four".