770208 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 250880.

The previous prime is 770207. The next prime is 770227. The reversal of 770208 is 802077.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 770208.

It is not an unprimeable number, because it can be changed into a prime (770207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6760 + ... + 6872.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁷⁷⁰²⁰⁸ 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 770208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

770208 is an abundant number, since it is smaller than the sum of its proper divisors (1298208).

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

770208 is a wasteful number, since it uses less digits than its factorization.

770208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 770208 is about 877.6149497359. The cubic root of 770208 is about 91.6648168589.

It can be divided in two parts, 77020 and 8, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 770208 in words is "seven hundred seventy thousand, two hundred eight".