765991828 has 36 divisors (see below), whose sum is σ = 1561594720. Its totient is φ = 322055136.

The previous prime is 765991817. The next prime is 765991829. The reversal of 765991828 is 828199567.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765991829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73783 + ... + 83521.

Almost surely, 2^765991828 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 765991828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780797360).

765991828 is an abundant number, since it is smaller than the sum of its proper divisors (795602892).

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

765991828 is a wasteful number, since it uses less digits than its factorization.

765991828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9801 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 55.

The square root of 765991828 is about 27676.5573726213. The cubic root of 765991828 is about 914.9725087543.

The spelling of 765991828 in words is "seven hundred sixty-five million, nine hundred ninety-one thousand, eight hundred twenty-eight".