817882512 has 160 divisors (see below), whose sum is σ = 2391275520. Its totient is φ = 239339520.

The previous prime is 817882477. The next prime is 817882519. The reversal of 817882512 is 215288718.

It is not an unprimeable number, because it can be changed into a prime (817882519) 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, 1100413 + ... + 1101155.

It is an arithmetic number, because the mean of its divisors is an integer number (14945472).

Almost surely, 2^817882512 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 817882512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195637760).

817882512 is an abundant number, since it is smaller than the sum of its proper divisors (1573393008).

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

817882512 is a wasteful number, since it uses less digits than its factorization.

817882512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its digits is 71680, while the sum is 42.

The square root of 817882512 is about 28598.6452826004. The cubic root of 817882512 is about 935.1837979300.

The spelling of 817882512 in words is "eight hundred seventeen million, eight hundred eighty-two thousand, five hundred twelve".