772968 has 64 divisors (see below), whose sum is σ = 2280960. Its totient is φ = 213696.

The previous prime is 772963. The next prime is 772987. The reversal of 772968 is 869277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7171 + ... + 7277.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2⁷⁷²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140480).

772968 is an abundant number, since it is smaller than the sum of its proper divisors (1507992).

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

772968 is a wasteful number, since it uses less digits than its factorization.

772968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 772968 is about 879.1859871495. The cubic root of 772968 is about 91.7741783546.

The spelling of 772968 in words is "seven hundred seventy-two thousand, nine hundred sixty-eight".