768153484800 has 1440 divisors, whose sum is σ = 3199867070400. Its totient is φ = 174399160320.

The previous prime is 768153484753. The next prime is 768153484843. The reversal of 768153484800 is 8484351867.

768153484800 is a `hidden beast` number, since 7 + 6 + 8 + 153 + 4 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998898816 + ... + 998899584.

It is an arithmetic number, because the mean of its divisors is an integer number (2222129910).

Almost surely, 2^768153484800 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 768153484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599933535200).

768153484800 is an abundant number, since it is smaller than the sum of its proper divisors (2431713585600).

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

768153484800 is a wasteful number, since it uses less digits than its factorization.

768153484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 768153484800 in words is "seven hundred sixty-eight billion, one hundred fifty-three million, four hundred eighty-four thousand, eight hundred".