777096 has 48 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 252000.

The previous prime is 777071. The next prime is 777097. The reversal of 777096 is 690777.

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

It is a self number, because there is not a number n which added to its sum of digits gives 777096.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 777096.

It is not an unprimeable number, because it can be changed into a prime (777097) 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, 2971 + ... + 3221.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2⁷⁷⁷⁰⁹⁶ 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 777096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

777096 is an abundant number, since it is smaller than the sum of its proper divisors (1385064).

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

777096 is a wasteful number, since it uses less digits than its factorization.

777096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 777096 is about 881.5304872777. The cubic root of 777096 is about 91.9372603118.

The spelling of 777096 in words is "seven hundred seventy-seven thousand, ninety-six".