16779680 has 96 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 6082560.

The previous prime is 16779677. The next prime is 16779691. The reversal of 16779680 is 8697761.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84221 + ... + 84419.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^16779680 is an apocalyptic number.

16779680 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 16779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

16779680 is an abundant number, since it is smaller than the sum of its proper divisors (26765920).

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

16779680 is a wasteful number, since it uses less digits than its factorization.

16779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 16779680 is about 4096.3007702072. The cubic root of 16779680 is about 256.0125319386.

The spelling of 16779680 in words is "sixteen million, seven hundred seventy-nine thousand, six hundred eighty".