780825 has 24 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 400960.

The previous prime is 780823. The next prime is 780833. The reversal of 780825 is 528087.

It is not a de Polignac number, because 780825 - 2¹ = 780823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 780792 and 780801.

It is not an unprimeable number, because it can be changed into a prime (780823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1996 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2⁷⁸⁰⁸²⁵ is an apocalyptic number.

780825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

780825 is a deficient number, since it is larger than the sum of its proper divisors (558375).

780825 is a wasteful number, since it uses less digits than its factorization.

780825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 780825 is about 883.6430274721. The cubic root of 780825 is about 92.0840834939.

It can be divided in two parts, 78082 and 5, that added together give a palindrome (78087).

The spelling of 780825 in words is "seven hundred eighty thousand, eight hundred twenty-five".