79002031329 has 27 divisors (see below), whose sum is σ = 123584427603. Its totient is φ = 48609888912.

The previous prime is 79002031309. The next prime is 79002031337. The reversal of 79002031329 is 92313020097.

The square root of 79002031329 is 281073.

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

It can be written as a sum of positive squares in only one way, i.e., 11686691025 + 67315340304 = 108105^2 + 259452^2 .

It is not a de Polignac number, because 79002031329 - 2⁷ = 79002031201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 79002031293 and 79002031302.

It is not an unprimeable number, because it can be changed into a prime (79002031309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10958244 + ... + 10965450.

Almost surely, 2^79002031329 is an apocalyptic number.

79002031329 is the 281073-rd square number.

79002031329 is the 140537-th centered octagonal number.

It is an amenable number.

79002031329 is a deficient number, since it is larger than the sum of its proper divisors (44582396274).

79002031329 is an frugal number, since it uses more digits than its factorization.

79002031329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14446 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Multiplying 79002031329 by its sum of digits (36), we get a square (2844073127844 = 1686438²).

The spelling of 79002031329 in words is "seventy-nine billion, two million, thirty-one thousand, three hundred twenty-nine".