802732680 has 160 divisors (see below), whose sum is σ = 2724024600. Its totient is φ = 212004864.

The previous prime is 802732669. The next prime is 802732687. The reversal of 802732680 is 86237208.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 787475844 + 15256836 = 28062^2 + 3906^2 .

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 (802732687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 352024 + ... + 354296.

Almost surely, 2^802732680 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 802732680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362012300).

802732680 is an abundant number, since it is smaller than the sum of its proper divisors (1921291920).

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

802732680 is a wasteful number, since it uses less digits than its factorization.

802732680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 802732680 is about 28332.5374790187. The cubic root of 802732680 is about 929.3735635668.

Adding to 802732680 its reverse (86237208), we get a palindrome (888969888).

The spelling of 802732680 in words is "eight hundred two million, seven hundred thirty-two thousand, six hundred eighty".