768631319400 has 192 divisors, whose sum is σ = 2723557824000. Its totient is φ = 175660911360.

The previous prime is 768631319387. The next prime is 768631319441. The reversal of 768631319400 is 4913136867.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 768631319400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49127979 + ... + 49143621.

It is an arithmetic number, because the mean of its divisors is an integer number (14185197000).

Almost surely, 2^768631319400 is an apocalyptic number.

768631319400 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 768631319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361778912000).

768631319400 is an abundant number, since it is smaller than the sum of its proper divisors (1954926504600).

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

768631319400 is a wasteful number, since it uses less digits than its factorization.

768631319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27368 (or 27359 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 768631319400 in words is "seven hundred sixty-eight billion, six hundred thirty-one million, three hundred nineteen thousand, four hundred".