766824219225 has 27 divisors (see below), whose sum is σ = 1373490906463. Its totient is φ = 408965911440.

The previous prime is 766824219197. The next prime is 766824219251. The reversal of 766824219225 is 522912428667.

The square root of 766824219225 is 875685.

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

766824219225 is a `hidden beast` number, since 76 + 68 + 2 + 421 + 92 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276056718921 + 490767500304 = 525411^2 + 700548^2 .

It is not a de Polignac number, because 766824219225 - 2¹⁷ = 766824088153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13106086 + ... + 13164464.

Almost surely, 2^766824219225 is an apocalyptic number.

766824219225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

766824219225 is the 875685-th square number.

766824219225 is the 437843-rd centered octagonal number.

It is an amenable number.

766824219225 is a deficient number, since it is larger than the sum of its proper divisors (606666687238).

766824219225 is an frugal number, since it uses more digits than its factorization.

766824219225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116774 (or 58387 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

It can be divided in two parts, 766824 and 219225, that added together give a square (986049 = 993²).

The spelling of 766824219225 in words is "seven hundred sixty-six billion, eight hundred twenty-four million, two hundred nineteen thousand, two hundred twenty-five".