772116 has 36 divisors (see below), whose sum is σ = 1891008. Its totient is φ = 245088.

The previous prime is 772097. The next prime is 772127. The reversal of 772116 is 611277.

It is a congruent number.

It is an unprimeable number.

772116 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 11 ways as a sum of consecutive naturals, for example, 16405 + ... + 16451.

It is an arithmetic number, because the mean of its divisors is an integer number (52528).

2⁷⁷²¹¹⁶ is an apocalyptic number.

It is an amenable number.

772116 is an abundant number, since it is smaller than the sum of its proper divisors (1118892).

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

772116 is a wasteful number, since it uses less digits than its factorization.

772116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 772116 is about 878.7013144408. The cubic root of 772116 is about 91.7404467529.

It can be divided in two parts, 772 and 116, that added together give a palindrome (888).

The spelling of 772116 in words is "seven hundred seventy-two thousand, one hundred sixteen".