756085009 has 9 divisors (see below), whose sum is σ = 782143401. Its totient is φ = 730870260.

The previous prime is 756085007. The next prime is 756085067. The reversal of 756085009 is 900580657.

It is a happy number.

The square root of 756085009 is 27497.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 756085009 - 2¹ = 756085007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (756085007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 851964 + ... + 852850.

Almost surely, 2^756085009 is an apocalyptic number.

756085009 is the 27497-th square number.

756085009 is the 13749-th centered octagonal number.

It is an amenable number.

756085009 is a deficient number, since it is larger than the sum of its proper divisors (26058392).

756085009 is an frugal number, since it uses more digits than its factorization.

756085009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The cubic root of 756085009 is about 911.0108354406.

The spelling of 756085009 in words is "seven hundred fifty-six million, eighty-five thousand, nine".