782628125 has 12 divisors (see below), whose sum is σ = 978226452. Its totient is φ = 626100000.

The previous prime is 782628083. The next prime is 782628137. The reversal of 782628125 is 521826287.

It can be written as a sum of positive squares in 6 ways, for example, as 394459321 + 388168804 = 19861^2 + 19702^2 .

It is not a de Polignac number, because 782628125 - 2²⁴ = 765850909 is a prime.

It is a super-2 number, since 2×782628125² = 1225013564082031250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122096 + ... + 128345.

It is an arithmetic number, because the mean of its divisors is an integer number (81518871).

Almost surely, 2^782628125 is an apocalyptic number.

It is an amenable number.

782628125 is a deficient number, since it is larger than the sum of its proper divisors (195598327).

782628125 is an frugal number, since it uses more digits than its factorization.

782628125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250466 (or 250446 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 782628125 is about 27975.4915059593. The cubic root of 782628125 is about 921.5491091691.

The spelling of 782628125 in words is "seven hundred eighty-two million, six hundred twenty-eight thousand, one hundred twenty-five".