80580000 has 240 divisors, whose sum is σ = 283409280. Its totient is φ = 19968000.

The previous prime is 80579999. The next prime is 80580013. The reversal of 80580000 is 8508.

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

It is a super-3 number, since 3×80580000³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1019961 + ... + 1020039.

It is an arithmetic number, because the mean of its divisors is an integer number (1180872).

Almost surely, 2^80580000 is an apocalyptic number.

80580000 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 80580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141704640).

80580000 is an abundant number, since it is smaller than the sum of its proper divisors (202829280).

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

80580000 is a wasteful number, since it uses less digits than its factorization.

80580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 80580000 is about 8976.6363410801. The cubic root of 80580000 is about 431.9257416943.

Adding to 80580000 its reverse (8508), we get a palindrome (80588508).

The spelling of 80580000 in words is "eighty million, five hundred eighty thousand".