11780000 has 120 divisors (see below), whose sum is σ = 31489920. Its totient is φ = 4320000.

The previous prime is 11779987. The next prime is 11780011. The reversal of 11780000 is 8711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379985 + ... + 380015.

It is an arithmetic number, because the mean of its divisors is an integer number (262416).

Almost surely, 2^11780000 is an apocalyptic number.

11780000 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 11780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744960).

11780000 is an abundant number, since it is smaller than the sum of its proper divisors (19709920).

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

11780000 is an equidigital number, since it uses as much as digits as its factorization.

11780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 11780000 is about 3432.2004603461. The cubic root of 11780000 is about 227.5351151367.

Adding to 11780000 its reverse (8711), we get a palindrome (11788711).

The spelling of 11780000 in words is "eleven million, seven hundred eighty thousand".