80082000 has 160 divisors (see below), whose sum is σ = 287064960. Its totient is φ = 21340800.

The previous prime is 80081983. The next prime is 80082001. The reversal of 80082000 is 28008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80082001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53259 + ... + 54741.

It is an arithmetic number, because the mean of its divisors is an integer number (1794156).

Almost surely, 2^80082000 is an apocalyptic number.

80082000 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 80082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143532480).

80082000 is an abundant number, since it is smaller than the sum of its proper divisors (206982960).

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

80082000 is a wasteful number, since it uses less digits than its factorization.

80082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80082000 is about 8948.8546753202. The cubic root of 80082000 is about 431.0341074388.

The spelling of 80082000 in words is "eighty million, eighty-two thousand".