790678161 has 81 divisors (see below), whose sum is σ = 1452714939. Its totient is φ = 413011872.

The previous prime is 790678159. The next prime is 790678181. The reversal of 790678161 is 161876097.

The square root of 790678161 is 28119.

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., 116964225 + 673713936 = 10815^2 + 25956^2 .

It is not a de Polignac number, because 790678161 - 2¹ = 790678159 is a prime.

It is a super-3 number, since 3×790678161³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (790678121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7676436 + ... + 7676538.

Almost surely, 2^790678161 is an apocalyptic number.

790678161 is the 28119-th square number.

790678161 is the 14060-th centered octagonal number.

It is an amenable number.

790678161 is a deficient number, since it is larger than the sum of its proper divisors (662036778).

790678161 is a wasteful number, since it uses less digits than its factorization.

790678161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The cubic root of 790678161 is about 924.6979918862.

The spelling of 790678161 in words is "seven hundred ninety million, six hundred seventy-eight thousand, one hundred sixty-one".