805288080 has 80 divisors (see below), whose sum is σ = 2528052480. Its totient is φ = 212020224.

The previous prime is 805288073. The next prime is 805288139. The reversal of 805288080 is 80882508.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 40196.

It is an arithmetic number, because the mean of its divisors is an integer number (31600656).

Almost surely, 2^805288080 is an apocalyptic number.

805288080 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 805288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264026240).

805288080 is an abundant number, since it is smaller than the sum of its proper divisors (1722764400).

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

805288080 is a wasteful number, since it uses less digits than its factorization.

805288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42568 (or 42562 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 805288080 is about 28377.5982070365. The cubic root of 805288080 is about 930.3587008035.

The spelling of 805288080 in words is "eight hundred five million, two hundred eighty-eight thousand, eighty".