82379000 has 64 divisors (see below), whose sum is σ = 210319200. Its totient is φ = 29952000.

The previous prime is 82378973. The next prime is 82379009. The reversal of 82379000 is 97328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82379009) by changing a digit.

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, 7256 + ... + 14744.

Almost surely, 2^82379000 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 82379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105159600).

82379000 is an abundant number, since it is smaller than the sum of its proper divisors (127940200).

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

82379000 is a wasteful number, since it uses less digits than its factorization.

82379000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 82379000 is about 9076.2877874162. The cubic root of 82379000 is about 435.1164527256.

The spelling of 82379000 in words is "eighty-two million, three hundred seventy-nine thousand".