80800 has 36 divisors (see below), whose sum is σ = 199206. Its totient is φ = 32000.

The previous prime is 80789. The next prime is 80803. The reversal of 80800 is 808.

It can be written as a sum of positive squares in 3 ways, for example, as 76176 + 4624 = 276^2 + 68^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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

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 5 ways as a sum of consecutive naturals, for example, 750 + ... + 850.

2⁸⁰⁸⁰⁰ is an apocalyptic number.

80800 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 80800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99603).

80800 is an abundant number, since it is smaller than the sum of its proper divisors (118406).

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

80800 is a wasteful number, since it uses less digits than its factorization.

80800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 80800 is about 284.2534080710. The cubic root of 80800 is about 43.2318466589.

80800 divided by its sum of digits (16) gives a triangular number (5050 = T₁₀₀).

Multiplying 80800 by its reverse (808), we get a square (65286400 = 8080²).

80800 divided by its reverse (808) gives a square (100 = 10²).

It can be divided in two parts, 80 and 800, that multiplied together give a cube (64000 = 40³).

The spelling of 80800 in words is "eighty thousand, eight hundred".