1778112 has 140 divisors (see below), whose sum is σ = 6146800. Its totient is φ = 508032.

The previous prime is 1778111. The next prime is 1778137. The reversal of 1778112 is 2118771.

1778112 = T₂₀₃ + T₂₀₄ + ... + T₂₆₆.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=84.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1778111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 254013 + ... + 254019.

2^1778112 is an apocalyptic number.

1778112 is a gapful number since it is divisible by the number (12) 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 1778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073400).

1778112 is an abundant number, since it is smaller than the sum of its proper divisors (4368688).

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

1778112 is an frugal number, since it uses more digits than its factorization.

1778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 12 counting only the distinct ones).

The product of its digits is 784, while the sum is 27.

The square root of 1778112 is about 1333.4586607766. The cubic root of 1778112 is about 121.1489639058.

1778112 divided by its sum of digits (27) gives a palindrome (65856).

The spelling of 1778112 in words is "one million, seven hundred seventy-eight thousand, one hundred twelve".