768300 has 72 divisors (see below), whose sum is σ = 2406096. Its totient is φ = 188160.

The previous prime is 768263. The next prime is 768301. The reversal of 768300 is 3867.

It is not an unprimeable number, because it can be changed into a prime (768301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3802 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (33418).

2⁷⁶⁸³⁰⁰ 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 768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203048).

768300 is an abundant number, since it is smaller than the sum of its proper divisors (1637796).

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

768300 is a wasteful number, since it uses less digits than its factorization.

768300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 768300 is about 876.5272385956. The cubic root of 768300 is about 91.5890619587.

It can be divided in two parts, 768 and 300, that multiplied together give a square (230400 = 480²).

The spelling of 768300 in words is "seven hundred sixty-eight thousand, three hundred".