80000 has 40 divisors (see below), whose sum is σ = 199155. Its totient is φ = 32000.

The previous prime is 79999. The next prime is 80021. The reversal of 80000 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.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 61504 = 136^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=200.

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 a nialpdrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 80000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 15998 + ... + 16002.

2^{80000} is an apocalyptic number.

80000 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 80000

80000 is an abundant number, since it is smaller than the sum of its proper divisors (119155).

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

80000 is an frugal number, since it uses more digits than its factorization.

80000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 7 counting only the distinct ones).

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

The square root of 80000 is about 282.8427124746. The cubic root of 80000 is about 43.0886938006.

The spelling of 80000 in words is "eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000

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