802609040520 has 1024 divisors, whose sum is σ = 3400040448000. Its totient is φ = 164182588416.

The previous prime is 802609040507. The next prime is 802609040521. The reversal of 802609040520 is 25040906208.

It is a happy number.

802609040520 is a `hidden beast` number, since 8 + 0 + 2 + 6 + 0 + 90 + 40 + 520 = 666.

802609040520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (802609040521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 274207297 + ... + 274210223.

It is an arithmetic number, because the mean of its divisors is an integer number (3320352000).

Almost surely, 2^802609040520 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 802609040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700020224000).

802609040520 is an abundant number, since it is smaller than the sum of its proper divisors (2597431407480).

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

802609040520 is a wasteful number, since it uses less digits than its factorization.

802609040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 802609040520 its reverse (25040906208), we get a palindrome (827649946728).

The spelling of 802609040520 in words is "eight hundred two billion, six hundred nine million, forty thousand, five hundred twenty".