819079872 has 112 divisors (see below), whose sum is σ = 2345679840. Its totient is φ = 250748928.

The previous prime is 819079853. The next prime is 819079897. The reversal of 819079872 is 278970918.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570868 + ... + 572300.

It is an arithmetic number, because the mean of its divisors is an integer number (20943570).

Almost surely, 2^819079872 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 819079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172839920).

819079872 is an abundant number, since it is smaller than the sum of its proper divisors (1526599968).

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

819079872 is a wasteful number, since it uses less digits than its factorization.

819079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The square root of 819079872 is about 28619.5714852616. The cubic root of 819079872 is about 935.6399374815.

The spelling of 819079872 in words is "eight hundred nineteen million, seventy-nine thousand, eight hundred seventy-two".