772648 has 8 divisors (see below), whose sum is σ = 1448730. Its totient is φ = 386320.

The previous prime is 772631. The next prime is 772649. The reversal of 772648 is 846277.

It can be written as a sum of positive squares in only one way, i.e., 770884 + 1764 = 878^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (772649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48283 + ... + 48298.

2⁷⁷²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

772648 is a deficient number, since it is larger than the sum of its proper divisors (676082).

772648 is a wasteful number, since it uses less digits than its factorization.

772648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96587 (or 96583 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 772648 is about 879.0039817885. The cubic root of 772648 is about 91.7615121164.

It can be divided in two parts, 7 and 72648, that multiplied together give a triangular number (508536 = T₁₀₀₈).

The spelling of 772648 in words is "seven hundred seventy-two thousand, six hundred forty-eight".