11880800 has 36 divisors (see below), whose sum is σ = 29005956. Its totient is φ = 4752000.

The previous prime is 11880769. The next prime is 11880809. The reversal of 11880800 is 808811.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11880800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880809) 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, 6626 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (805721).

Almost surely, 2^11880800 is an apocalyptic number.

11880800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11880800 is an abundant number, since it is smaller than the sum of its proper divisors (17125156).

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

11880800 is a wasteful number, since it uses less digits than its factorization.

11880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14871 (or 14858 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 11880800 is about 3446.8536377398. The cubic root of 11880800 is about 228.1822693522.

The spelling of 11880800 in words is "eleven million, eight hundred eighty thousand, eight hundred".