817820160 has 80 divisors (see below), whose sum is σ = 2614493376. Its totient is φ = 218083328.

The previous prime is 817820123. The next prime is 817820161. The reversal of 817820160 is 61028718.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (817820161) 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 7 ways as a sum of consecutive naturals, for example, 45564 + ... + 60923.

Almost surely, 2^817820160 is an apocalyptic number.

817820160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

817820160 is an abundant number, since it is smaller than the sum of its proper divisors (1796673216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

817820160 is a wasteful number, since it uses less digits than its factorization.

817820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106513 (or 106497 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 817820160 is about 28597.5551402563. Note that the first 3 decimals coincide. The cubic root of 817820160 is about 935.1600324702.

Adding to 817820160 its reverse (61028718), we get a palindrome (878848878).

The spelling of 817820160 in words is "eight hundred seventeen million, eight hundred twenty thousand, one hundred sixty".