768663600 has 120 divisors (see below), whose sum is σ = 2541837312. Its totient is φ = 198355200.

The previous prime is 768663509. The next prime is 768663607. The reversal of 768663600 is 6366867.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (768663607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26869 + ... + 47531.

Almost surely, 2^768663600 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 768663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270918656).

768663600 is an abundant number, since it is smaller than the sum of its proper divisors (1773173712).

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

768663600 is a wasteful number, since it uses less digits than its factorization.

768663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20715 (or 20704 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 768663600 is about 27724.7831371140. The cubic root of 768663600 is about 916.0350793504.

The spelling of 768663600 in words is "seven hundred sixty-eight million, six hundred sixty-three thousand, six hundred".