82307820 has 48 divisors (see below), whose sum is σ = 263386368. Its totient is φ = 18813120.

The previous prime is 82307801. The next prime is 82307833. The reversal of 82307820 is 2870328.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97566 + ... + 98405.

It is an arithmetic number, because the mean of its divisors is an integer number (5487216).

Almost surely, 2^82307820 is an apocalyptic number.

It is an amenable number.

82307820 is an abundant number, since it is smaller than the sum of its proper divisors (181078548).

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

82307820 is a wasteful number, since it uses less digits than its factorization.

82307820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195990 (or 195988 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 82307820 is about 9072.3657333686. The cubic root of 82307820 is about 434.9910950747.

The spelling of 82307820 in words is "eighty-two million, three hundred seven thousand, eight hundred twenty".