82576476 has 48 divisors (see below), whose sum is σ = 215688480. Its totient is φ = 27319680.

The previous prime is 82576453. The next prime is 82576499. The reversal of 82576476 is 67467528.

82576476 is a `hidden beast` number, since 8 + 2 + 576 + 4 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (82576453) and next prime (82576499).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12006 + ... + 17586.

It is an arithmetic number, because the mean of its divisors is an integer number (4493510).

Almost surely, 2^82576476 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 82576476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107844240).

82576476 is an abundant number, since it is smaller than the sum of its proper divisors (133112004).

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

82576476 is a wasteful number, since it uses less digits than its factorization.

82576476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5723 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 82576476 is about 9087.1599523724. The cubic root of 82576476 is about 435.4638571575.

The spelling of 82576476 in words is "eighty-two million, five hundred seventy-six thousand, four hundred seventy-six".