820807625 has 32 divisors (see below), whose sum is σ = 1120414464. Its totient is φ = 595392000.

The previous prime is 820807621. The next prime is 820807627. The reversal of 820807625 is 526708028.

820807625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820807625 - 2² = 820807621 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820807621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924932 + ... + 925818.

It is an arithmetic number, because the mean of its divisors is an integer number (35012952).

Almost surely, 2^820807625 is an apocalyptic number.

It is an amenable number.

820807625 is a deficient number, since it is larger than the sum of its proper divisors (299606839).

820807625 is a wasteful number, since it uses less digits than its factorization.

820807625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 820807625 is about 28649.7404002200. The cubic root of 820807625 is about 936.2973497194.

The spelling of 820807625 in words is "eight hundred twenty million, eight hundred seven thousand, six hundred twenty-five".