82705300 has 36 divisors (see below), whose sum is σ = 180105660. Its totient is φ = 32965120.

The previous prime is 82705283. The next prime is 82705307. The reversal of 82705300 is 350728.

It can be written as a sum of positive squares in 6 ways, for example, as 14047504 + 68657796 = 3748^2 + 8286^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82705307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30396 + ... + 33004.

It is an arithmetic number, because the mean of its divisors is an integer number (5002935).

Almost surely, 2^82705300 is an apocalyptic number.

It is an amenable number.

82705300 is an abundant number, since it is smaller than the sum of its proper divisors (97400360).

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

82705300 is a wasteful number, since it uses less digits than its factorization.

82705300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 82705300 is about 9094.2454332396. The cubic root of 82705300 is about 435.6901889644.

The spelling of 82705300 in words is "eighty-two million, seven hundred five thousand, three hundred".