1780416 has 84 divisors (see below), whose sum is σ = 5586984. Its totient is φ = 537600.

The previous prime is 1780411. The next prime is 1780439. The reversal of 1780416 is 6140871.

It is a happy number.

It is a super-2 number, since 2×1780416² = 6339762266112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1780416.

It is not an unprimeable number, because it can be changed into a prime (1780411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6196 + ... + 6476.

2^1780416 is an apocalyptic number.

1780416 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 1780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793492).

1780416 is an abundant number, since it is smaller than the sum of its proper divisors (3806568).

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

1780416 is a wasteful number, since it uses less digits than its factorization.

1780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1780416 is about 1334.3222998961. The cubic root of 1780416 is about 121.2012678363.

The spelling of 1780416 in words is "one million, seven hundred eighty thousand, four hundred sixteen".