768204524100 has 864 divisors, whose sum is σ = 2635031347200. Its totient is φ = 172182067200.

The previous prime is 768204524063. The next prime is 768204524119. The reversal of 768204524100 is 1425402867.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 287 ways as a sum of consecutive naturals, for example, 2855778766 + ... + 2855779034.

It is an arithmetic number, because the mean of its divisors is an integer number (3049804800).

Almost surely, 2^768204524100 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 768204524100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317515673600).

768204524100 is an abundant number, since it is smaller than the sum of its proper divisors (1866826823100).

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

768204524100 is a wasteful number, since it uses less digits than its factorization.

768204524100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

Adding to 768204524100 its reverse (1425402867), we get a palindrome (769629926967).

The spelling of 768204524100 in words is "seven hundred sixty-eight billion, two hundred four million, five hundred twenty-four thousand, one hundred".