782073 has 12 divisors (see below), whose sum is σ = 1141140. Its totient is φ = 516096.

The previous prime is 782071. The next prime is 782083. The reversal of 782073 is 370287.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 660969 = 348^2 + 813^2 .

It is not a de Polignac number, because 782073 - 2¹ = 782071 is a prime.

It is a super-2 number, since 2×782073² = 1223276354658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782071) 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, 633 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (95095).

2⁷⁸²⁰⁷³ is an apocalyptic number.

It is an amenable number.

782073 is a deficient number, since it is larger than the sum of its proper divisors (359067).

782073 is a wasteful number, since it uses less digits than its factorization.

782073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 782073 is about 884.3489130428. The cubic root of 782073 is about 92.1331170008.

It can be divided in two parts, 78207 and 3, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 782073 in words is "seven hundred eighty-two thousand, seventy-three".