768446800 has 90 divisors (see below), whose sum is σ = 2029414814. Its totient is φ = 279417600.

The previous prime is 768446779. The next prime is 768446803. The reversal of 768446800 is 8644867.

It can be written as a sum of positive squares in 3 ways, for example, as 270799936 + 497646864 = 16456^2 + 22308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768446803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40462 + ... + 56338.

Almost surely, 2^768446800 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 768446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014707407).

768446800 is an abundant number, since it is smaller than the sum of its proper divisors (1260968014).

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

768446800 is a wasteful number, since it uses less digits than its factorization.

768446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15917 (or 15895 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 768446800 is about 27720.8730021260. The cubic root of 768446800 is about 915.9489493106.

The spelling of 768446800 in words is "seven hundred sixty-eight million, four hundred forty-six thousand, eight hundred".