802243008 has 224 divisors, whose sum is σ = 2789529600. Its totient is φ = 221211648.

The previous prime is 802243007. The next prime is 802243019. The reversal of 802243008 is 800342208.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802243007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 349641 + ... + 351927.

Almost surely, 2^802243008 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 802243008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394764800).

802243008 is an abundant number, since it is smaller than the sum of its proper divisors (1987286592).

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

802243008 is a wasteful number, since it uses less digits than its factorization.

802243008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 802243008 is about 28323.8946474527. The cubic root of 802243008 is about 929.1845505492.

The spelling of 802243008 in words is "eight hundred two million, two hundred forty-three thousand, eight".