36080800 has 144 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 11612160.

The previous prime is 36080743. The next prime is 36080839. The reversal of 36080800 is 808063.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95011 + ... + 95389.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^36080800 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 36080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

36080800 is an abundant number, since it is smaller than the sum of its proper divisors (70787360).

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

36080800 is a wasteful number, since it uses less digits than its factorization.

36080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 36080800 is about 6006.7295594192. The cubic root of 36080800 is about 330.4395733779.

Adding to 36080800 its reverse (808063), we get a palindrome (36888863).

The spelling of 36080800 in words is "thirty-six million, eighty thousand, eight hundred".