8278200 has 240 divisors, whose sum is σ = 33308880. Its totient is φ = 1866240.

The previous prime is 8278199. The next prime is 8278211. The reversal of 8278200 is 28728.

8278200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113364 + ... + 113436.

It is an arithmetic number, because the mean of its divisors is an integer number (138787).

Almost surely, 2^8278200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8278200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654440).

8278200 is an abundant number, since it is smaller than the sum of its proper divisors (25030680).

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

8278200 is a wasteful number, since it uses less digits than its factorization.

8278200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

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

The square root of 8278200 is about 2877.1861253662. The cubic root of 8278200 is about 202.2919674268.

The spelling of 8278200 in words is "eight million, two hundred seventy-eight thousand, two hundred".