802089984 has 88 divisors (see below), whose sum is σ = 2150627328. Its totient is φ = 265768960.

The previous prime is 802089979. The next prime is 802089989. The reversal of 802089984 is 489980208.

802089984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (802089979) and next prime (802089989).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (802089989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586069 + ... + 587435.

Almost surely, 2^802089984 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 802089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075313664).

802089984 is an abundant number, since it is smaller than the sum of its proper divisors (1348537344).

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

802089984 is a wasteful number, since it uses less digits than its factorization.

802089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 802089984 is about 28321.1931952028. The cubic root of 802089984 is about 929.1254676293.

The spelling of 802089984 in words is "eight hundred two million, eighty-nine thousand, nine hundred eighty-four".