80205300 has 216 divisors, whose sum is σ = 297897600. Its totient is φ = 17660160.

The previous prime is 80205299. The next prime is 80205317. The reversal of 80205300 is 350208.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182481 + ... + 182919.

Almost surely, 2^80205300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

80205300 is an abundant number, since it is smaller than the sum of its proper divisors (217692300).

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

80205300 is a wasteful number, since it uses less digits than its factorization.

80205300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 80205300 is about 8955.7411753578. The cubic root of 80205300 is about 431.2552110271.

Adding to 80205300 its reverse (350208), we get a palindrome (80555508).

The spelling of 80205300 in words is "eighty million, two hundred five thousand, three hundred".