82880840 has 128 divisors (see below), whose sum is σ = 225504000. Its totient is φ = 26815488.

The previous prime is 82880839. The next prime is 82880873. The reversal of 82880840 is 4808828.

It is a junction number, because it is equal to n+sod(n) for n = 82880794 and 82880803.

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 31 ways as a sum of consecutive naturals, for example, 478994 + ... + 479166.

It is an arithmetic number, because the mean of its divisors is an integer number (1761750).

Almost surely, 2^82880840 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 82880840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112752000).

82880840 is an abundant number, since it is smaller than the sum of its proper divisors (142623160).

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

82880840 is a wasteful number, since it uses less digits than its factorization.

82880840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 82880840 is about 9103.8914756273. The cubic root of 82880840 is about 435.9982184367.

The spelling of 82880840 in words is "eighty-two million, eight hundred eighty thousand, eight hundred forty".