772208 has 30 divisors (see below), whose sum is σ = 1598856. Its totient is φ = 361216.

The previous prime is 772207. The next prime is 772229. The reversal of 772208 is 802277.

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 772208.

It is not an unprimeable number, because it can be changed into a prime (772207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4541 + ... + 4707.

2⁷⁷²²⁰⁸ 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 772208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799428).

772208 is an abundant number, since it is smaller than the sum of its proper divisors (826648).

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

772208 is a wasteful number, since it uses less digits than its factorization.

772208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 772208 is about 878.7536628658. The cubic root of 772208 is about 91.7440903271.

The spelling of 772208 in words is "seven hundred seventy-two thousand, two hundred eight".