36786880 has 112 divisors (see below), whose sum is σ = 97292160. Its totient is φ = 13160448.

The previous prime is 36786859. The next prime is 36786931. The reversal of 36786880 is 8868763.

It is a self number, because there is not a number n which added to its sum of digits gives 36786880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153801 + ... + 154039.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 2^36786880 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 36786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080).

36786880 is an abundant number, since it is smaller than the sum of its proper divisors (60505280).

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

36786880 is a wasteful number, since it uses less digits than its factorization.

36786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 36786880 is about 6065.2188748635. The cubic root of 36786880 is about 332.5811662328.

The spelling of 36786880 in words is "thirty-six million, seven hundred eighty-six thousand, eight hundred eighty".