800 has 18 divisors (see below), whose sum is σ = 1953. Its totient is φ = 320.

The previous prime is 797. The next prime is 809. The reversal of 800 is 8.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

800 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 16 = 28^2 + 4^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=20.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a Duffinian number.

800 is a Rhonda number in base 12.

800 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7, base 11 and base 12.

It is a nialpdrome in base 7, base 10 and base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 158 + ... + 162.

2^{800} is an apocalyptic number.

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

800 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800

800 is an abundant number, since it is smaller than the sum of its proper divisors (1153).

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

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

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

The sum of its prime factors is 20 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 800 is about 28.2842712475. The cubic root of 800 is about 9.2831776672.

The spelling of 800 in words is "eight hundred", and is thus an aban number and an oban number.

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