11790400 has 42 divisors (see below), whose sum is σ = 29015690. Its totient is φ = 4715520.

The previous prime is 11790353. The next prime is 11790403. The reversal of 11790400 is 409711.

It can be written as a sum of positive squares in 3 ways, for example, as 2742336 + 9048064 = 1656^2 + 3008^2 .

It is not an unprimeable number, because it can be changed into a prime (11790403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2085 + ... + 5284.

Almost surely, 2^11790400 is an apocalyptic number.

11790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11790400 is an abundant number, since it is smaller than the sum of its proper divisors (17225290).

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

11790400 is an equidigital number, since it uses as much as digits as its factorization.

11790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391 (or 7376 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 11790400 is about 3433.7151891210. The cubic root of 11790400 is about 227.6020554071.

The spelling of 11790400 in words is "eleven million, seven hundred ninety thousand, four hundred".