819288864 has 96 divisors (see below), whose sum is σ = 2425429440. Its totient is φ = 269001216.

The previous prime is 819288859. The next prime is 819288881. The reversal of 819288864 is 468882918.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 819288864.

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, 50812 + ... + 64964.

It is an arithmetic number, because the mean of its divisors is an integer number (25264890).

Almost surely, 2^819288864 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 819288864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212714720).

819288864 is an abundant number, since it is smaller than the sum of its proper divisors (1606140576).

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

819288864 is a wasteful number, since it uses less digits than its factorization.

819288864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14239 (or 14225 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 819288864 is about 28623.2224600935. Note that the first 3 decimals coincide. The cubic root of 819288864 is about 935.7195083267.

The spelling of 819288864 in words is "eight hundred nineteen million, two hundred eighty-eight thousand, eight hundred sixty-four".