80682000 has 320 divisors, whose sum is σ = 317551104. Its totient is φ = 17203200.

The previous prime is 80681987. The next prime is 80682001. The reversal of 80682000 is 28608.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (80682001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 713944 + ... + 714056.

Almost surely, 2^80682000 is an apocalyptic number.

80682000 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 80682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158775552).

80682000 is an abundant number, since it is smaller than the sum of its proper divisors (236869104).

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

80682000 is a wasteful number, since it uses less digits than its factorization.

80682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80682000 is about 8982.3159597066. The cubic root of 80682000 is about 432.1079119992.

The spelling of 80682000 in words is "eighty million, six hundred eighty-two thousand".