802210816 has 88 divisors (see below), whose sum is σ = 1762712640. Its totient is φ = 361881600.

The previous prime is 802210763. The next prime is 802210819. The reversal of 802210816 is 618012208.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (802210819) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2579301 + ... + 2579611.

Almost surely, 2^802210816 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 802210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881356320).

802210816 is an abundant number, since it is smaller than the sum of its proper divisors (960501824).

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

802210816 is a wasteful number, since it uses less digits than its factorization.

802210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 802210816 is about 28323.3263583217. The cubic root of 802210816 is about 929.1721217677.

The spelling of 802210816 in words is "eight hundred two million, two hundred ten thousand, eight hundred sixteen".