768825 has 48 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 380160.

The previous prime is 768811. The next prime is 768841. The reversal of 768825 is 528867.

It is not a de Polignac number, because 768825 - 2⁵ = 768793 is a prime.

It is a super-3 number, since 3×768825³ = 1363338645364546875, which contains 333 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 768825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11442 + ... + 11508.

It is an arithmetic number, because the mean of its divisors is an integer number (31620).

2⁷⁶⁸⁸²⁵ is an apocalyptic number.

768825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

768825 is a deficient number, since it is larger than the sum of its proper divisors (748935).

768825 is a wasteful number, since it uses less digits than its factorization.

768825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 768825 is about 876.8266647405. The cubic root of 768825 is about 91.6099189630.

The spelling of 768825 in words is "seven hundred sixty-eight thousand, eight hundred twenty-five".