13776480 has 120 divisors (see below), whose sum is σ = 48665232. Its totient is φ = 3670272.

The previous prime is 13776439. The next prime is 13776481. The reversal of 13776480 is 8467731.

13776480 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13776481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12429 + ... + 13491.

Almost surely, 2^13776480 is an apocalyptic number.

13776480 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 13776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332616).

13776480 is an abundant number, since it is smaller than the sum of its proper divisors (34888752).

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

13776480 is a wasteful number, since it uses less digits than its factorization.

13776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13776480 is about 3711.6680886092. The cubic root of 13776480 is about 239.7246842927.

The spelling of 13776480 in words is "thirteen million, seven hundred seventy-six thousand, four hundred eighty".