1782013952 has 84 divisors (see below), whose sum is σ = 3786766620. Its totient is φ = 836222976.

The previous prime is 1782013939. The next prime is 1782013957. The reversal of 1782013952 is 2593102871.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782013957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16654283 + ... + 16654389.

It is an arithmetic number, because the mean of its divisors is an integer number (45080555).

Almost surely, 2^1782013952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1782013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893383310).

1782013952 is an abundant number, since it is smaller than the sum of its proper divisors (2004752668).

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

1782013952 is an frugal number, since it uses more digits than its factorization.

1782013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1782013952 is about 42213.9070923316. The cubic root of 1782013952 is about 1212.3751702289.

Multiplying 1782013952 by its sum of digits (38), we get a square (67716530176 = 260224²).

1782013952 divided by its sum of digits (38) gives a square (46895104 = 6848²).

The spelling of 1782013952 in words is "one billion, seven hundred eighty-two million, thirteen thousand, nine hundred fifty-two".