780625 has 10 divisors (see below), whose sum is σ = 976250. Its totient is φ = 624000.

The previous prime is 780613. The next prime is 780631. The reversal of 780625 is 526087.

780625 is a nontrivial binomial coefficient, being equal to C(1250, 2).

It can be written as a sum of positive squares in 5 ways, for example, as 341056 + 439569 = 584^2 + 663^2 .

It is not a de Polignac number, because 780625 - 2¹⁹ = 256337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 780593 and 780602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1 + ... + 1249.

It is an arithmetic number, because the mean of its divisors is an integer number (97625).

2⁷⁸⁰⁶²⁵ is an apocalyptic number.

780625 is the 1249-th triangular number and also the 625-th hexagonal number.

780625 is the 417-th centered nonagonal number.

It is an amenable number.

780625 is a deficient number, since it is larger than the sum of its proper divisors (195625).

780625 is an equidigital number, since it uses as much as digits as its factorization.

780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 780625 is about 883.5298523536. The cubic root of 780625 is about 92.0762207037.

The spelling of 780625 in words is "seven hundred eighty thousand, six hundred twenty-five".