768045200 has 120 divisors (see below), whose sum is σ = 2004538368. Its totient is φ = 281111040.

The previous prime is 768045199. The next prime is 768045209. The reversal of 768045200 is 2540867.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (768045209) 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, 659819 + ... + 660981.

Almost surely, 2^768045200 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 768045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002269184).

768045200 is an abundant number, since it is smaller than the sum of its proper divisors (1236493168).

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

768045200 is a wasteful number, since it uses less digits than its factorization.

768045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 768045200 is about 27713.6284163586. The cubic root of 768045200 is about 915.7893593443.

The spelling of 768045200 in words is "seven hundred sixty-eight million, forty-five thousand, two hundred".