16777280 has 112 divisors (see below), whose sum is σ = 44592240. Its totient is φ = 5971968.

The previous prime is 16777259. The next prime is 16777289. The reversal of 16777280 is 8277761.

It can be written as a sum of positive squares in 8 ways, for example, as 65536 + 16711744 = 256^2 + 4088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16777289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153866 + ... + 153974.

It is an arithmetic number, because the mean of its divisors is an integer number (398145).

Almost surely, 2^16777280 is an apocalyptic number.

16777280 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 16777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296120).

16777280 is an abundant number, since it is smaller than the sum of its proper divisors (27814960).

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

16777280 is a wasteful number, since it uses less digits than its factorization.

16777280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 16777280 is about 4096.0078124925. The cubic root of 16777280 is about 256.0003255204. Note that the first 3 decimals are identical.

The spelling of 16777280 in words is "sixteen million, seven hundred seventy-seven thousand, two hundred eighty".