768600000 has 504 divisors, whose sum is σ = 3198607776. Its totient is φ = 172800000.

The previous prime is 768599999. The next prime is 768600013. The reversal of 768600000 is 6867.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12599970 + ... + 12600030.

It is an arithmetic number, because the mean of its divisors is an integer number (6346444).

Almost surely, 2^768600000 is an apocalyptic number.

768600000 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 768600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599303888).

768600000 is an abundant number, since it is smaller than the sum of its proper divisors (2430007776).

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

768600000 is an equidigital number, since it uses as much as digits as its factorization.

768600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 768600000 is about 27723.6361251550. The cubic root of 768600000 is about 916.0098140987.

Adding to 768600000 its reverse (6867), we get a palindrome (768606867).

The spelling of 768600000 in words is "seven hundred sixty-eight million, six hundred thousand".