772 has 6 divisors (see below), whose sum is σ = 1358. Its totient is φ = 384.

The previous prime is 769. The next prime is 773. The reversal of 772 is 277.

It can be written as a sum of positive squares in only one way, i.e., 576 + 196 = 24^2 + 14^2 .

It is a magnanimous number.

It is a plaindrome in base 15.

It is a nialpdrome in base 10, base 11 and base 12.

It is not an unprimeable number, because it can be changed into a prime (773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93 + ... + 100.

It is an amenable number.

772 is a deficient number, since it is larger than the sum of its proper divisors (586).

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

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

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 98, while the sum is 16.

The square root of 772 is about 27.7848879789. The cubic root of 772 is about 9.1735852268.

The spelling of 772 in words is "seven hundred seventy-two", and thus it is an aban number and an iban number.

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