11790800 has 60 divisors (see below), whose sum is σ = 32381856. Its totient is φ = 4041600.

The previous prime is 11790797. The next prime is 11790803. The reversal of 11790800 is 809711.

It is an interprime number because it is at equal distance from previous prime (11790797) and next prime (11790803).

It is a self number, because there is not a number n which added to its sum of digits gives 11790800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11790803) 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, 695 + ... + 4905.

Almost surely, 2^11790800 is an apocalyptic number.

11790800 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 11790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190928).

11790800 is an abundant number, since it is smaller than the sum of its proper divisors (20591056).

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

11790800 is a wasteful number, since it uses less digits than its factorization.

11790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 11790800 is about 3433.7734345760. The cubic root of 11790800 is about 227.6046292466.

The spelling of 11790800 in words is "eleven million, seven hundred ninety thousand, eight hundred".