82379008 has 72 divisors (see below), whose sum is σ = 181899648. Its totient is φ = 37036032.

The previous prime is 82378973. The next prime is 82379009. The reversal of 82379008 is 80097328.

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99685 + ... + 100507.

It is an arithmetic number, because the mean of its divisors is an integer number (2526384).

Almost surely, 2^82379008 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 82379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90949824).

82379008 is an abundant number, since it is smaller than the sum of its proper divisors (99520640).

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

82379008 is a wasteful number, since it uses less digits than its factorization.

82379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 82379008 is about 9076.2882281250. The cubic root of 82379008 is about 435.1164668106.

The spelling of 82379008 in words is "eighty-two million, three hundred seventy-nine thousand, eight".