8065800 has 72 divisors (see below), whose sum is σ = 27093690. Its totient is φ = 2150400.

The previous prime is 8065793. The next prime is 8065819. The reversal of 8065800 is 85608.

8065800 is a `hidden beast` number, since 8 + 0 + 658 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6937956 + 1127844 = 2634^2 + 1062^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 441 + ... + 4040.

Almost surely, 2^8065800 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 8065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546845).

8065800 is an abundant number, since it is smaller than the sum of its proper divisors (19027890).

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

8065800 is a wasteful number, since it uses less digits than its factorization.

8065800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8065800 is about 2840.0352110493. The cubic root of 8065800 is about 200.5468368181.

The spelling of 8065800 in words is "eight million, sixty-five thousand, eight hundred".