772668 has 54 divisors (see below), whose sum is σ = 2131584. Its totient is φ = 235872.

The previous prime is 772663. The next prime is 772669. The reversal of 772668 is 866277.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772661) 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 17 ways as a sum of consecutive naturals, for example, 6021 + ... + 6147.

2⁷⁷²⁶⁶⁸ is an apocalyptic number.

772668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065792).

772668 is an abundant number, since it is smaller than the sum of its proper divisors (1358916).

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

772668 is a wasteful number, since it uses less digits than its factorization.

772668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 772668 is about 879.0153582276. The cubic root of 772668 is about 91.7623038587.

The spelling of 772668 in words is "seven hundred seventy-two thousand, six hundred sixty-eight".