816766825 has 48 divisors (see below), whose sum is σ = 1181995776. Its totient is φ = 548352000.

The previous prime is 816766793. The next prime is 816766829. The reversal of 816766825 is 528667618.

It is not a de Polignac number, because 816766825 - 2⁵ = 816766793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816766829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2036625 + ... + 2037025.

It is an arithmetic number, because the mean of its divisors is an integer number (24624912).

Almost surely, 2^816766825 is an apocalyptic number.

It is an amenable number.

816766825 is a deficient number, since it is larger than the sum of its proper divisors (365228951).

816766825 is a wasteful number, since it uses less digits than its factorization.

816766825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 816766825 is about 28579.1326845305. The cubic root of 816766825 is about 934.7583712224.

The spelling of 816766825 in words is "eight hundred sixteen million, seven hundred sixty-six thousand, eight hundred twenty-five".