768849984 has 126 divisors (see below), whose sum is σ = 2563662894. Its totient is φ = 219663360.

The previous prime is 768849931. The next prime is 768849997. The reversal of 768849984 is 489948867.

768849984 is a `hidden beast` number, since 7 + 68 + 8 + 499 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 451584 = 27720^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×768849984² = 1182260595793600512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14604 + ... + 41844.

Almost surely, 2^768849984 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 768849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281831447).

768849984 is an abundant number, since it is smaller than the sum of its proper divisors (1794812910).

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

768849984 is a wasteful number, since it uses less digits than its factorization.

768849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27273 (or 27253 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 768849984 is about 27728.1442581360. The cubic root of 768849984 is about 916.1091128133.

It can be divided in two parts, 76884 and 9984, that added together give a palindrome (86868).

The spelling of 768849984 in words is "seven hundred sixty-eight million, eight hundred forty-nine thousand, nine hundred eighty-four".