1785580416 has 128 divisors (see below), whose sum is σ = 5299226400. Its totient is φ = 591888384.

The previous prime is 1785580387. The next prime is 1785580417. The reversal of 1785580416 is 6140855871.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1785580417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665670 + ... + 668346.

Almost surely, 2^1785580416 is an apocalyptic number.

1785580416 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 1785580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649613200).

1785580416 is an abundant number, since it is smaller than the sum of its proper divisors (3513645984).

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

1785580416 is a wasteful number, since it uses less digits than its factorization.

1785580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1785580416 is about 42256.1287389179. The cubic root of 1785580416 is about 1213.1834338291.

The spelling of 1785580416 in words is "one billion, seven hundred eighty-five million, five hundred eighty thousand, four hundred sixteen".