790735328289 has 27 divisors (see below), whose sum is σ = 1147045266003. Its totient is φ = 524917796832.

The previous prime is 790735328239. The next prime is 790735328323. The reversal of 790735328289 is 982823537097.

The square root of 790735328289 is 889233.

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

790735328289 is a `hidden beast` number, since 7 + 9 + 0 + 73 + 532 + 8 + 28 + 9 = 666.

790735328289 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5044550625 + 785690777664 = 71025^2 + 886392^2 .

It is not a de Polignac number, because 790735328289 - 2¹³ = 790735320097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (790735328209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 834989314 + ... + 834990260.

Almost surely, 2^790735328289 is an apocalyptic number.

790735328289 is the 889233-rd square number.

790735328289 is the 444617-th centered octagonal number.

It is an amenable number.

790735328289 is a deficient number, since it is larger than the sum of its proper divisors (356309937714).

790735328289 is an frugal number, since it uses more digits than its factorization.

790735328289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 790735328289 in words is "seven hundred ninety billion, seven hundred thirty-five million, three hundred twenty-eight thousand, two hundred eighty-nine".