766575852 has 96 divisors (see below), whose sum is σ = 2115369984. Its totient is φ = 211507200.

The previous prime is 766575833. The next prime is 766575863. The reversal of 766575852 is 258575667.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 766575795 and 766575804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353652 + ... + 355812.

It is an arithmetic number, because the mean of its divisors is an integer number (22035104).

Almost surely, 2^766575852 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 766575852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057684992).

766575852 is an abundant number, since it is smaller than the sum of its proper divisors (1348794132).

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

766575852 is a wasteful number, since it uses less digits than its factorization.

766575852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2317 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 51.

The square root of 766575852 is about 27687.1062409924. The cubic root of 766575852 is about 915.2049873678.

The spelling of 766575852 in words is "seven hundred sixty-six million, five hundred seventy-five thousand, eight hundred fifty-two".