772816 has 20 divisors (see below), whose sum is σ = 1633824. Its totient is φ = 351200.

The previous prime is 772789. The next prime is 772843. The reversal of 772816 is 618277.

It is a happy number.

772816 is digitally balanced in base 2, 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 (772789) and next prime (772843).

It is a congruent number.

It is an unprimeable number.

772816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2020 + ... + 2371.

2⁷⁷²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

772816 is an abundant number, since it is smaller than the sum of its proper divisors (861008).

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

772816 is a wasteful number, since it uses less digits than its factorization.

772816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4404 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 772816 is about 879.0995393014. The cubic root of 772816 is about 91.7681623274.

It can be divided in two parts, 7728 and 16, that added together give a square (7744 = 88²).

The spelling of 772816 in words is "seven hundred seventy-two thousand, eight hundred sixteen".