802008288 has 72 divisors (see below), whose sum is σ = 2285010000. Its totient is φ = 266832384.

The previous prime is 802008287. The next prime is 802008301. The reversal of 802008288 is 882800208.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×802008288⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802008287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170188 + ... + 174836.

It is an arithmetic number, because the mean of its divisors is an integer number (31736250).

Almost surely, 2^802008288 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 802008288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142505000).

802008288 is an abundant number, since it is smaller than the sum of its proper divisors (1483001712).

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

802008288 is a wasteful number, since it uses less digits than its factorization.

802008288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 802008288 is about 28319.7508463616. The cubic root of 802008288 is about 929.0939215380.

It can be divided in two parts, 80200 and 8288, that added together give a palindrome (88488).

The spelling of 802008288 in words is "eight hundred two million, eight thousand, two hundred eighty-eight".