863660772 has 96 divisors (see below), whose sum is σ = 2434320000. Its totient is φ = 263212416.

The previous prime is 863660747. The next prime is 863660773. The reversal of 863660772 is 277066368.

863660772 is a `hidden beast` number, since 8 + 6 + 36 + 607 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (863660773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147354 + ... + 153102.

It is an arithmetic number, because the mean of its divisors is an integer number (25357500).

Almost surely, 2^863660772 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 863660772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217160000).

863660772 is an abundant number, since it is smaller than the sum of its proper divisors (1570659228).

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

863660772 is a wasteful number, since it uses less digits than its factorization.

863660772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 863660772 is about 29388.1059614260. The cubic root of 863660772 is about 952.3159641961.

The spelling of 863660772 in words is "eight hundred sixty-three million, six hundred sixty thousand, seven hundred seventy-two".