11877800 has 48 divisors (see below), whose sum is σ = 30132000. Its totient is φ = 4318400.

The previous prime is 11877797. The next prime is 11877809. The reversal of 11877800 is 877811.

It is not an unprimeable number, because it can be changed into a prime (11877809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (627750).

Almost surely, 2^11877800 is an apocalyptic number.

11877800 is a gapful number since it is divisible by the number (10) 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 11877800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066000).

11877800 is an abundant number, since it is smaller than the sum of its proper divisors (18254200).

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

11877800 is a wasteful number, since it uses less digits than its factorization.

11877800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

The square root of 11877800 is about 3446.4184307771. The cubic root of 11877800 is about 228.1630617670.

The spelling of 11877800 in words is "eleven million, eight hundred seventy-seven thousand, eight hundred".