802264445000 has 180 divisors, whose sum is σ = 1923890521245. Its totient is φ = 313533584000.

The previous prime is 802264444999. The next prime is 802264445051. The reversal of 802264445000 is 544462208.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 2423986756 + 799840458244 = 49234^2 + 894338^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=633350.

It is a super-2 number, since 2×802264445000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3356754881 + ... + 3356755119.

Almost surely, 2^802264445000 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 802264445000

802264445000 is an abundant number, since it is smaller than the sum of its proper divisors (1121626076245).

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

802264445000 is an frugal number, since it uses more digits than its factorization.

802264445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 802264445000 in words is "eight hundred two billion, two hundred sixty-four million, four hundred forty-five thousand".