802880 has 56 divisors (see below), whose sum is σ = 2069592. Its totient is φ = 294912.

The previous prime is 802873. The next prime is 802909. The reversal of 802880 is 88208.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 802816 = 8^2 + 896^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

802880 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, 4064 + ... + 4256.

It is an arithmetic number, because the mean of its divisors is an integer number (36957).

2⁸⁰²⁸⁸⁰ is an apocalyptic number.

802880 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 802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034796).

802880 is an abundant number, since it is smaller than the sum of its proper divisors (1266712).

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

802880 is a wasteful number, since it uses less digits than its factorization.

802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 802880 is about 896.0357135740. The cubic root of 802880 is about 92.9430413932.

It can be divided in two parts, 80 and 2880, that multiplied together give a square (230400 = 480²).

The spelling of 802880 in words is "eight hundred two thousand, eight hundred eighty".