782055 has 20 divisors (see below), whose sum is σ = 1402632. Its totient is φ = 416880.

The previous prime is 782053. The next prime is 782057. The reversal of 782055 is 550287.

It is a happy number.

782055 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (782053) and next prime (782057).

It is not a de Polignac number, because 782055 - 2¹ = 782053 is a prime.

It is a super-2 number, since 2×782055² = 1223220046050, which contains 22 as substring.

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

782055 is strictly pandigital in base 7.

782055 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782053) 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, 561 + ... + 1370.

2⁷⁸²⁰⁵⁵ is an apocalyptic number.

782055 is a deficient number, since it is larger than the sum of its proper divisors (620577).

782055 is a wasteful number, since it uses less digits than its factorization.

782055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 782055 is about 884.3387360056. The cubic root of 782055 is about 92.1324101576.

It can be divided in two parts, 78205 and 5, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 782055 in words is "seven hundred eighty-two thousand, fifty-five".