80323200 has 144 divisors (see below), whose sum is σ = 286714350. Its totient is φ = 21411840.

The previous prime is 80323193. The next prime is 80323219. The reversal of 80323200 is 232308.

It can be written as a sum of positive squares in 3 ways, for example, as 63872064 + 16451136 = 7992^2 + 4056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27406 + ... + 30194.

Almost surely, 2^80323200 is an apocalyptic number.

80323200 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 80323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143357175).

80323200 is an abundant number, since it is smaller than the sum of its proper divisors (206391150).

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

80323200 is a wasteful number, since it uses less digits than its factorization.

80323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 80323200 is about 8962.3211279222. The cubic root of 80323200 is about 431.4664194138.

Adding to 80323200 its reverse (232308), we get a palindrome (80555508).

The spelling of 80323200 in words is "eighty million, three hundred twenty-three thousand, two hundred".