82745208 has 192 divisors, whose sum is σ = 281211840. Its totient is φ = 21399552.

The previous prime is 82745203. The next prime is 82745249. The reversal of 82745208 is 80254728.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82745203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478210 + ... + 478382.

It is an arithmetic number, because the mean of its divisors is an integer number (1464645).

Almost surely, 2^82745208 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 82745208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140605920).

82745208 is an abundant number, since it is smaller than the sum of its proper divisors (198466632).

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

82745208 is a wasteful number, since it uses less digits than its factorization.

82745208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82745208 is about 9096.4393033758. The cubic root of 82745208 is about 435.7602559296.

The spelling of 82745208 in words is "eighty-two million, seven hundred forty-five thousand, two hundred eight".