802720 has 48 divisors (see below), whose sum is σ = 1973160. Its totient is φ = 308224.

The previous prime is 802709. The next prime is 802721. The reversal of 802720 is 27208.

802720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 35344 = 876^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (802721) by changing a digit.

802720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4554 + ... + 4726.

2⁸⁰²⁷²⁰ is an apocalyptic number.

802720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986580).

802720 is an abundant number, since it is smaller than the sum of its proper divisors (1170440).

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

802720 is a wasteful number, since it uses less digits than its factorization.

802720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 802720 is about 895.9464269698. The cubic root of 802720 is about 92.9368670066.

Adding to 802720 its reverse (27208), we get a palindrome (829928).

The spelling of 802720 in words is "eight hundred two thousand, seven hundred twenty".