80801 has 12 divisors (see below), whose sum is σ = 100548. Its totient is φ = 64512.

The previous prime is 80789. The next prime is 80803. The reversal of 80801 is 10808.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 30625 = 224^2 + 175^2 .

It is not a de Polignac number, because 80801 - 2⁶ = 80737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a magnanimous number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 80801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 785 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁸⁰⁸⁰¹ is an apocalyptic number.

It is an amenable number.

80801 is a deficient number, since it is larger than the sum of its proper divisors (19747).

80801 is a wasteful number, since it uses less digits than its factorization.

80801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 80801 is about 284.2551670595. The cubic root of 80801 is about 43.2320250074.

80801 divided by its sum of digits (17) gives a triangular number (4753 = T₉₇).

The spelling of 80801 in words is "eighty thousand, eight hundred one".