80335200 has 288 divisors, whose sum is σ = 303730560. Its totient is φ = 18227200.

The previous prime is 80335187. The next prime is 80335207. The reversal of 80335200 is 253308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80335207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448711 + ... + 448889.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^80335200 is an apocalyptic number.

80335200 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 80335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

80335200 is an abundant number, since it is smaller than the sum of its proper divisors (223395360).

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

80335200 is a wasteful number, since it uses less digits than its factorization.

80335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 80335200 is about 8962.9905723480. The cubic root of 80335200 is about 431.4879048593.

Adding to 80335200 its reverse (253308), we get a palindrome (80588508).

The spelling of 80335200 in words is "eighty million, three hundred thirty-five thousand, two hundred".