771768 has 48 divisors (see below), whose sum is σ = 2173080. Its totient is φ = 256608.

The previous prime is 771763. The next prime is 771769. The reversal of 771768 is 867177.

It is a super-3 number, since 3×771768³ = 1379054903339690496, which contains 333 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 771768.

It is not an unprimeable number, because it can be changed into a prime (771763) 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 11 ways as a sum of consecutive naturals, for example, 1746 + ... + 2142.

2⁷⁷¹⁷⁶⁸ 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 771768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086540).

771768 is an abundant number, since it is smaller than the sum of its proper divisors (1401312).

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

771768 is a wasteful number, since it uses less digits than its factorization.

771768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 771768 is about 878.5032726177. The cubic root of 771768 is about 91.7266619187.

The spelling of 771768 in words is "seven hundred seventy-one thousand, seven hundred sixty-eight".