766125 has 32 divisors (see below), whose sum is σ = 1422720. Its totient is φ = 406800.

The previous prime is 766111. The next prime is 766127. The reversal of 766125 is 521667.

It is not a de Polignac number, because 766125 - 2⁴ = 766109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766125.

It is not an unprimeable number, because it can be changed into a prime (766127) 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 31 ways as a sum of consecutive naturals, for example, 3262 + ... + 3488.

It is an arithmetic number, because the mean of its divisors is an integer number (44460).

2⁷⁶⁶¹²⁵ is an apocalyptic number.

766125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

766125 is a deficient number, since it is larger than the sum of its proper divisors (656595).

766125 is a wasteful number, since it uses less digits than its factorization.

766125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 766125 is about 875.2856676537. The cubic root of 766125 is about 91.5025530059.

The spelling of 766125 in words is "seven hundred sixty-six thousand, one hundred twenty-five".