817979272 has 64 divisors (see below), whose sum is σ = 1713196800. Its totient is φ = 363018240.

The previous prime is 817979251. The next prime is 817979287. The reversal of 817979272 is 272979718.

It is an unprimeable number.

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, 673738 + ... + 674950.

It is an arithmetic number, because the mean of its divisors is an integer number (26768700).

Almost surely, 2^817979272 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 817979272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856598400).

817979272 is an abundant number, since it is smaller than the sum of its proper divisors (895217528).

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

817979272 is a wasteful number, since it uses less digits than its factorization.

817979272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its digits is 889056, while the sum is 52.

The square root of 817979272 is about 28600.3369210924. The cubic root of 817979272 is about 935.2206756049.

It can be divided in two parts, 817 and 979272, that added together give a palindrome (980089).

The spelling of 817979272 in words is "eight hundred seventeen million, nine hundred seventy-nine thousand, two hundred seventy-two".