782378125 has 12 divisors (see below), whose sum is σ = 977913972. Its totient is φ = 625900000.

The previous prime is 782378123. The next prime is 782378147. The reversal of 782378125 is 521873287.

782378125 = 19778² + 19779².

It can be written as a sum of positive squares in 6 ways, for example, as 391208841 + 391169284 = 19779^2 + 19778^2 .

It is not a de Polignac number, because 782378125 - 2¹ = 782378123 is a prime.

It is a super-2 number, since 2×782378125² = 1224231060957031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782378123) 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 11 ways as a sum of consecutive naturals, for example, 122056 + ... + 128305.

It is an arithmetic number, because the mean of its divisors is an integer number (81492831).

Almost surely, 2^782378125 is an apocalyptic number.

782378125 is the 19779-th centered square number.

It is an amenable number.

782378125 is a deficient number, since it is larger than the sum of its proper divisors (195535847).

782378125 is an frugal number, since it uses more digits than its factorization.

782378125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250386 (or 250366 counting only the distinct ones).

The product of its digits is 188160, while the sum is 43.

The square root of 782378125 is about 27971.0229523341. The cubic root of 782378125 is about 921.4509732407.

The spelling of 782378125 in words is "seven hundred eighty-two million, three hundred seventy-eight thousand, one hundred twenty-five".