768075 has 72 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 302400.

The previous prime is 768073. The next prime is 768101. The reversal of 768075 is 570867.

It is not a de Polignac number, because 768075 - 2¹ = 768073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

768075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (768073) 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 71 ways as a sum of consecutive naturals, for example, 40416 + ... + 40434.

It is an arithmetic number, because the mean of its divisors is an integer number (23560).

2⁷⁶⁸⁰⁷⁵ is an apocalyptic number.

768075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

768075 is an abundant number, since it is smaller than the sum of its proper divisors (928245).

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

768075 is a wasteful number, since it uses less digits than its factorization.

768075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 768075 is about 876.3988817884. The cubic root of 768075 is about 91.5801203339.

The spelling of 768075 in words is "seven hundred sixty-eight thousand, seventy-five".