756045 has 24 divisors (see below), whose sum is σ = 1339416. Its totient is φ = 394368.

The previous prime is 756043. The next prime is 756053. The reversal of 756045 is 540657.

756045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 736164 = 141^2 + 858^2 .

It is not a de Polignac number, because 756045 - 2¹ = 756043 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 756045.

It is not an unprimeable number, because it can be changed into a prime (756043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (55809).

756045 is a Friedman number, since it can be written as (7^5-6)*(40+5), using all its digits and the basic arithmetic operations.

2⁷⁵⁶⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

756045 is a deficient number, since it is larger than the sum of its proper divisors (583371).

756045 is a wasteful number, since it uses less digits than its factorization.

756045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 756045 is about 869.5084818448. The cubic root of 756045 is about 91.0994766138.

The spelling of 756045 in words is "seven hundred fifty-six thousand, forty-five".