8058000 has 160 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 1996800.

The previous prime is 8057989. The next prime is 8058013. The reversal of 8058000 is 8508.

8058000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8058000³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101961 + ... + 102039.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^8058000 is an apocalyptic number.

8058000 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 8058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

8058000 is an abundant number, since it is smaller than the sum of its proper divisors (19797360).

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

8058000 is a wasteful number, since it uses less digits than its factorization.

8058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

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

The square root of 8058000 is about 2838.6616564853. The cubic root of 8058000 is about 200.4821699598.

The spelling of 8058000 in words is "eight million, fifty-eight thousand".