768561300000 has 1296 divisors, whose sum is σ = 3072281861376. Its totient is φ = 181958400000.

The previous prime is 768561299983. The next prime is 768561300011. The reversal of 768561300000 is 3165867.

768561300000 is a `hidden beast` number, since 7 + 68 + 561 + 30 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 4715099919 + ... + 4715100081.

It is an arithmetic number, because the mean of its divisors is an integer number (2370587856).

Almost surely, 2^768561300000 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 768561300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536140930688).

768561300000 is an abundant number, since it is smaller than the sum of its proper divisors (2303720561376).

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

768561300000 is a wasteful number, since it uses less digits than its factorization.

768561300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 768561300000 its reverse (3165867), we get a palindrome (768564465867).

The spelling of 768561300000 in words is "seven hundred sixty-eight billion, five hundred sixty-one million, three hundred thousand".