379979780625 has 45 divisors (see below), whose sum is σ = 685938517693. Its totient is φ = 202631226000.

The previous prime is 379979780581. The next prime is 379979780627. The reversal of 379979780625 is 526087979973.

The square root of 379979780625 is 616425.

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

379979780625 is a `hidden beast` number, since 379 + 97 + 97 + 80 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29790414801 + 350189365824 = 172599^2 + 591768^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 379979780625 - 2²¹ = 379977683473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379979780627) 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 44 ways as a sum of consecutive naturals, for example, 46227766 + ... + 46235984.

Almost surely, 2^379979780625 is an apocalyptic number.

379979780625 is the 616425-th square number.

379979780625 is the 308213-rd centered octagonal number.

It is an amenable number.

379979780625 is a deficient number, since it is larger than the sum of its proper divisors (305958737068).

379979780625 is an frugal number, since it uses more digits than its factorization.

379979780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 379979780625 in words is "three hundred seventy-nine billion, nine hundred seventy-nine million, seven hundred eighty thousand, six hundred twenty-five".