768830844096 has 280 divisors, whose sum is σ = 2665213140480. Its totient is φ = 214557009408.

The previous prime is 768830844091. The next prime is 768830844113. The reversal of 768830844096 is 690448038867.

768830844096 is a `hidden beast` number, since 76 + 8 + 8 + 30 + 8 + 440 + 96 = 666.

It is a super-2 number, since 2×768830844096² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (768830844091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1314025 + ... + 1806743.

Almost surely, 2^768830844096 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 768830844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332606570240).

768830844096 is an abundant number, since it is smaller than the sum of its proper divisors (1896382296384).

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

768830844096 is a wasteful number, since it uses less digits than its factorization.

768830844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492793 (or 492774 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 768830844096 in words is "seven hundred sixty-eight billion, eight hundred thirty million, eight hundred forty-four thousand, ninety-six".