13776000 has 256 divisors, whose sum is σ = 53464320. Its totient is φ = 3072000.

The previous prime is 13775999. The next prime is 13776017. The reversal of 13776000 is 67731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335980 + ... + 336020.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^13776000 is an apocalyptic number.

13776000 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 13776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

13776000 is an abundant number, since it is smaller than the sum of its proper divisors (39688320).

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

13776000 is an equidigital number, since it uses as much as digits as its factorization.

13776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 13776000 is about 3711.6034270919. The cubic root of 13776000 is about 239.7219000985.

The spelling of 13776000 in words is "thirteen million, seven hundred seventy-six thousand".