82880000 has 200 divisors, whose sum is σ = 242884752. Its totient is φ = 27648000.

The previous prime is 82879943. The next prime is 82880011. The reversal of 82880000 is 8828.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2239982 + ... + 2240018.

Almost surely, 2^82880000 is an apocalyptic number.

82880000 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 82880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121442376).

82880000 is an abundant number, since it is smaller than the sum of its proper divisors (160004752).

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

82880000 is an frugal number, since it uses more digits than its factorization.

82880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 82880000 is about 9103.8453413928. The cubic root of 82880000 is about 435.9967454797.

Adding to 82880000 its reverse (8828), we get a palindrome (82888828).

It can be divided in two parts, 8 and 2880000, that multiplied together give a square (23040000 = 4800²).

The spelling of 82880000 in words is "eighty-two million, eight hundred eighty thousand".