80982000 has 240 divisors, whose sum is σ = 309310560. Its totient is φ = 19584000.

The previous prime is 80981993. The next prime is 80982019. The reversal of 80982000 is 28908.

It is a Cunningham number, because it is equal to 8999²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197796 + ... + 198204.

It is an arithmetic number, because the mean of its divisors is an integer number (1288794).

Almost surely, 2^80982000 is an apocalyptic number.

80982000 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 80982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154655280).

80982000 is an abundant number, since it is smaller than the sum of its proper divisors (228328560).

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

80982000 is a wasteful number, since it uses less digits than its factorization.

80982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80982000 is about 8998.9999444383. Note that the first 4 decimals coincide. The cubic root of 80982000 is about 432.6428187274.

The spelling of 80982000 in words is "eighty million, nine hundred eighty-two thousand".