784168009 has 9 divisors (see below), whose sum is σ = 804939079. Its totient is φ = 763921840.

The previous prime is 784168001. The next prime is 784168013. The reversal of 784168009 is 900861487.

The square root of 784168009 is 28003.

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., 37785609 + 746382400 = 6147^2 + 27320^2 .

It is not a de Polignac number, because 784168009 - 2³ = 784168001 is a prime.

It is a super-2 number, since 2×784168009² = 1229838932678048162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (784168001) 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 8 ways as a sum of consecutive naturals, for example, 1147782 + ... + 1148464.

Almost surely, 2^784168009 is an apocalyptic number.

784168009 is the 28003-rd square number.

784168009 is the 14002-nd centered octagonal number.

It is an amenable number.

784168009 is a deficient number, since it is larger than the sum of its proper divisors (20771070).

784168009 is an frugal number, since it uses more digits than its factorization.

784168009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 784168009 is about 922.1531206112.

The spelling of 784168009 in words is "seven hundred eighty-four million, one hundred sixty-eight thousand, nine".