768436200000 has 1344 divisors, whose sum is σ = 3343061030400. Its totient is φ = 169344000000.

The previous prime is 768436199983. The next prime is 768436200019. The reversal of 768436200000 is 2634867.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 1096199650 + ... + 1096200350.

It is an arithmetic number, because the mean of its divisors is an integer number (2487396600).

Almost surely, 2^768436200000 is an apocalyptic number.

768436200000 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 768436200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671530515200).

768436200000 is an abundant number, since it is smaller than the sum of its proper divisors (2574624830400).

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

768436200000 is an equidigital number, since it uses as much as digits as its factorization.

768436200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 768436200000 its reverse (2634867), we get a palindrome (768438834867).

The spelling of 768436200000 in words is "seven hundred sixty-eight billion, four hundred thirty-six million, two hundred thousand".