82979120 has 80 divisors (see below), whose sum is σ = 223699968. Its totient is φ = 28035840.

The previous prime is 82979069. The next prime is 82979131. The reversal of 82979120 is 2197928.

It is a tau number, because it is divible by the number of its divisors (80).

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, 38717 + ... + 40803.

Almost surely, 2^82979120 is an apocalyptic number.

82979120 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 82979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111849984).

82979120 is an abundant number, since it is smaller than the sum of its proper divisors (140720848).

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

82979120 is a wasteful number, since it uses less digits than its factorization.

82979120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 82979120 is about 9109.2875681910. The cubic root of 82979120 is about 436.1704857502.

The spelling of 82979120 in words is "eighty-two million, nine hundred seventy-nine thousand, one hundred twenty".