16782080 has 72 divisors (see below), whose sum is σ = 45965472. Its totient is φ = 5750784.

The previous prime is 16782071. The next prime is 16782091. The reversal of 16782080 is 8028761.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8024 + ... + 9896.

Almost surely, 2^16782080 is an apocalyptic number.

16782080 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 16782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982736).

16782080 is an abundant number, since it is smaller than the sum of its proper divisors (29183392).

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

16782080 is an equidigital number, since it uses as much as digits as its factorization.

16782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 16782080 is about 4096.5937069717. The cubic root of 16782080 is about 256.0247371929.

The spelling of 16782080 in words is "sixteen million, seven hundred eighty-two thousand, eighty".