808125417 has 24 divisors (see below), whose sum is σ = 1320577440. Its totient is φ = 489771360.

The previous prime is 808125389. The next prime is 808125467. The reversal of 808125417 is 714521808.

It is not a de Polignac number, because 808125417 - 2¹⁶ = 808059881 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (808125467) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 148492 + ... + 153837.

It is an arithmetic number, because the mean of its divisors is an integer number (55024060).

Almost surely, 2^808125417 is an apocalyptic number.

It is an amenable number.

808125417 is a deficient number, since it is larger than the sum of its proper divisors (512452023).

808125417 is a wasteful number, since it uses less digits than its factorization.

808125417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302355 (or 302343 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 808125417 is about 28427.5467988358. The cubic root of 808125417 is about 931.4500895100.

The spelling of 808125417 in words is "eight hundred eight million, one hundred twenty-five thousand, four hundred seventeen".