785400625 has 45 divisors (see below), whose sum is σ = 1053663501. Its totient is φ = 585162000.

The previous prime is 785400601. The next prime is 785400631. The reversal of 785400625 is 526004587.

It is a happy number.

The square root of 785400625 is 28025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 61575409 + 723825216 = 7847^2 + 26904^2 .

It is not a de Polignac number, because 785400625 - 2¹⁷ = 785269553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 13311846 + ... + 13311904.

Almost surely, 2^785400625 is an apocalyptic number.

785400625 is the 28025-th square number.

785400625 is the 14013-rd centered octagonal number.

It is an amenable number.

785400625 is a deficient number, since it is larger than the sum of its proper divisors (268262876).

785400625 is an frugal number, since it uses more digits than its factorization.

785400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The cubic root of 785400625 is about 922.6360382316.

The spelling of 785400625 in words is "seven hundred eighty-five million, four hundred thousand, six hundred twenty-five".