768506844 has 96 divisors (see below), whose sum is σ = 2128089600. Its totient is φ = 211196160.

The previous prime is 768506831. The next prime is 768506867. The reversal of 768506844 is 448605867.

It is a junction number, because it is equal to n+sod(n) for n = 768506793 and 768506802.

It is a congruent number.

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, 947199 + ... + 948009.

It is an arithmetic number, because the mean of its divisors is an integer number (22167600).

Almost surely, 2^768506844 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 768506844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064044800).

768506844 is an abundant number, since it is smaller than the sum of its proper divisors (1359582756).

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

768506844 is a wasteful number, since it uses less digits than its factorization.

768506844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 768506844 is about 27721.9559915963. The cubic root of 768506844 is about 915.9728051396.

The spelling of 768506844 in words is "seven hundred sixty-eight million, five hundred six thousand, eight hundred forty-four".