768200 has 48 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 292160.

The previous prime is 768199. The next prime is 768203. The reversal of 768200 is 2867.

768200 is nontrivially palindromic in base 7.

768200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 768200.

It is not an unprimeable number, because it can be changed into a prime (768203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4517 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁷⁶⁸²⁰⁰ 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 768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

768200 is an abundant number, since it is smaller than the sum of its proper divisors (1106680).

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

768200 is a wasteful number, since it uses less digits than its factorization.

768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 768200 is about 876.4701934464. The cubic root of 768200 is about 91.5850881188.

The spelling of 768200 in words is "seven hundred sixty-eight thousand, two hundred".