82430000 has 50 divisors (see below), whose sum is σ = 199595484. Its totient is φ = 32968000.

The previous prime is 82429987. The next prime is 82430017. The reversal of 82430000 is 3428.

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 5879 + ... + 14121.

Almost surely, 2^82430000 is an apocalyptic number.

82430000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99797742).

82430000 is an abundant number, since it is smaller than the sum of its proper divisors (117165484).

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

82430000 is an equidigital number, since it uses as much as digits as its factorization.

82430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 82430000 is about 9079.0968713854. The cubic root of 82430000 is about 435.2062262572.

Adding to 82430000 its reverse (3428), we get a palindrome (82433428).

The spelling of 82430000 in words is "eighty-two million, four hundred thirty thousand".