773486208 has 288 divisors, whose sum is σ = 2539555200. Its totient is φ = 225561600.

The previous prime is 773486149. The next prime is 773486209. The reversal of 773486208 is 802684377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (773486209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4321063 + ... + 4321241.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^773486208 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 773486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

773486208 is an abundant number, since it is smaller than the sum of its proper divisors (1766068992).

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

773486208 is a wasteful number, since it uses less digits than its factorization.

773486208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 773486208 is about 27811.6200175394. The cubic root of 773486208 is about 917.9468264871.

The spelling of 773486208 in words is "seven hundred seventy-three million, four hundred eighty-six thousand, two hundred eight".