768849408 has 100 divisors (see below), whose sum is σ = 2294936820. Its totient is φ = 256269312.

The previous prime is 768849407. The next prime is 768849427. The reversal of 768849408 is 804948867.

768849408 is a `hidden beast` number, since 76 + 88 + 494 + 0 + 8 = 666.

It is a super-2 number, since 2×768849408² = 1182258824363900928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768849407) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32203 + ... + 50741.

Almost surely, 2^768849408 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 768849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147468410).

768849408 is an abundant number, since it is smaller than the sum of its proper divisors (1526087412).

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

768849408 is an equidigital number, since it uses as much as digits as its factorization.

768849408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18569 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 768849408 is about 27728.1338715753. The cubic root of 768849408 is about 916.1088840392.

The spelling of 768849408 in words is "seven hundred sixty-eight million, eight hundred forty-nine thousand, four hundred eight".