817971080 has 64 divisors (see below), whose sum is σ = 1961418240. Its totient is φ = 306287872.

The previous prime is 817971079. The next prime is 817971083. The reversal of 817971080 is 80179718.

It is not an unprimeable number, because it can be changed into a prime (817971083) 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 15 ways as a sum of consecutive naturals, for example, 33782 + ... + 52698.

It is an arithmetic number, because the mean of its divisors is an integer number (30647160).

Almost surely, 2^817971080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817971080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980709120).

817971080 is an abundant number, since it is smaller than the sum of its proper divisors (1143447160).

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

817971080 is a wasteful number, since it uses less digits than its factorization.

817971080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18998 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 41.

The square root of 817971080 is about 28600.1937056377. The cubic root of 817971080 is about 935.2175535399.

The spelling of 817971080 in words is "eight hundred seventeen million, nine hundred seventy-one thousand, eighty".