768813292800 has 2592 divisors, whose sum is σ = 3536623641600. Its totient is φ = 162570240000.

The previous prime is 768813292789. The next prime is 768813292801. The reversal of 768813292800 is 8292318867.

It is a happy number.

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 (768813292801) 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 287 ways as a sum of consecutive naturals, for example, 7612012750 + ... + 7612012850.

Almost surely, 2^768813292800 is an apocalyptic number.

768813292800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768813292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768311820800).

768813292800 is an abundant number, since it is smaller than the sum of its proper divisors (2767810348800).

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

768813292800 is a wasteful number, since it uses less digits than its factorization.

768813292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 768813292800 in words is "seven hundred sixty-eight billion, eight hundred thirteen million, two hundred ninety-two thousand, eight hundred".