8026200 has 288 divisors, whose sum is σ = 33852000. Its totient is φ = 1693440.

The previous prime is 8026199. The next prime is 8026217. The reversal of 8026200 is 26208.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 617394 + ... + 617406.

Almost surely, 2^8026200 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 8026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926000).

8026200 is an abundant number, since it is smaller than the sum of its proper divisors (25825800).

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

8026200 is a wasteful number, since it uses less digits than its factorization.

8026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8026200 is about 2833.0548882787. The cubic root of 8026200 is about 200.2180954188.

Multiplying 8026200 by its reverse (26208), we get a square (210350649600 = 458640²).

The spelling of 8026200 in words is "eight million, twenty-six thousand, two hundred".