772506 has 24 divisors (see below), whose sum is σ = 1913184. Its totient is φ = 220680.

The previous prime is 772493. The next prime is 772517. The reversal of 772506 is 605277.

It is a self number, because there is not a number n which added to its sum of digits gives 772506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772506.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2940 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (79716).

2⁷⁷²⁵⁰⁶ is an apocalyptic number.

772506 is an abundant number, since it is smaller than the sum of its proper divisors (1140678).

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

772506 is a wasteful number, since it uses less digits than its factorization.

772506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 772506 is about 878.9232048365. The cubic root of 772506 is about 91.7558903528.

The spelling of 772506 in words is "seven hundred seventy-two thousand, five hundred six".