80755200 has 180 divisors, whose sum is σ = 289412838. Its totient is φ = 21504000.

The previous prime is 80755163. The next prime is 80755211. The reversal of 80755200 is 255708.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 72182016 + 8573184 = 8496^2 + 2928^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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, 114850 + ... + 115550.

Almost surely, 2^80755200 is an apocalyptic number.

80755200 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 80755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144706419).

80755200 is an abundant number, since it is smaller than the sum of its proper divisors (208657638).

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

80755200 is a wasteful number, since it uses less digits than its factorization.

80755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 80755200 is about 8986.3897088875. The cubic root of 80755200 is about 432.2385513747.

The spelling of 80755200 in words is "eighty million, seven hundred fifty-five thousand, two hundred".