772716 has 24 divisors (see below), whose sum is σ = 2060800. Its totient is φ = 220752.

The previous prime is 772703. The next prime is 772721. The reversal of 772716 is 617277.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

772716 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 4516 + ... + 4683.

2⁷⁷²⁷¹⁶ is an apocalyptic number.

It is an amenable number.

772716 is an abundant number, since it is smaller than the sum of its proper divisors (1288084).

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

772716 is a wasteful number, since it uses less digits than its factorization.

772716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213 (or 9211 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 772716 is about 879.0426610808. The cubic root of 772716 is about 91.7642039846.

It can be divided in two parts, 77271 and 6, that added together give a palindrome (77277).

The spelling of 772716 in words is "seven hundred seventy-two thousand, seven hundred sixteen".