768849312 has 192 divisors, whose sum is σ = 2570932224. Its totient is φ = 195363840.

The previous prime is 768849311. The next prime is 768849317. The reversal of 768849312 is 213948867.

It is a super-2 number, since 2×768849312² = 1182258529125746688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (768849311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346318 + ... + 348530.

It is an arithmetic number, because the mean of its divisors is an integer number (13390272).

Almost surely, 2^768849312 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 768849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285466112).

768849312 is an abundant number, since it is smaller than the sum of its proper divisors (1802082912).

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

768849312 is a wasteful number, since it uses less digits than its factorization.

768849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2283 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 768849312 is about 27728.1321404814. The cubic root of 768849312 is about 916.1088459102.

The spelling of 768849312 in words is "seven hundred sixty-eight million, eight hundred forty-nine thousand, three hundred twelve".