16780416 has 64 divisors (see below), whose sum is σ = 45165600. Its totient is φ = 5519360.

The previous prime is 16780399. The next prime is 16780417. The reversal of 16780416 is 61408761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×16780416² = 563164722266112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16780417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33931 + ... + 34421.

Almost surely, 2^16780416 is an apocalyptic number.

16780416 is a gapful number since it is divisible by the number (16) 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 16780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22582800).

16780416 is an abundant number, since it is smaller than the sum of its proper divisors (28385184).

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

16780416 is an equidigital number, since it uses as much as digits as its factorization.

16780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 16780416 is about 4096.3906063753. The cubic root of 16780416 is about 256.0162750070.

The spelling of 16780416 in words is "sixteen million, seven hundred eighty thousand, four hundred sixteen".