8278000 has 40 divisors (see below), whose sum is σ = 20021040. Its totient is φ = 3310400.

The previous prime is 8277991. The next prime is 8278001. The reversal of 8278000 is 8728.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8278001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 4069.

It is an arithmetic number, because the mean of its divisors is an integer number (500526).

Almost surely, 2^8278000 is an apocalyptic number.

8278000 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 8278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010520).

8278000 is an abundant number, since it is smaller than the sum of its proper divisors (11743040).

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

8278000 is a wasteful number, since it uses less digits than its factorization.

8278000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8278000 is about 2877.1513689759. The cubic root of 8278000 is about 202.2903382998.

The spelling of 8278000 in words is "eight million, two hundred seventy-eight thousand".