8478000 has 160 divisors (see below), whose sum is σ = 30563520. Its totient is φ = 2246400.

The previous prime is 8477999. The next prime is 8478013. The reversal of 8478000 is 8748.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 53922 + ... + 54078.

It is an arithmetic number, because the mean of its divisors is an integer number (191022).

Almost surely, 2^8478000 is an apocalyptic number.

8478000 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 8478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281760).

8478000 is an abundant number, since it is smaller than the sum of its proper divisors (22085520).

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

8478000 is a wasteful number, since it uses less digits than its factorization.

8478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8478000 is about 2911.7005340522. The cubic root of 8478000 is about 203.9065315758.

The spelling of 8478000 in words is "eight million, four hundred seventy-eight thousand".