8064800 has 72 divisors (see below), whose sum is σ = 20881476. Its totient is φ = 3031040.

The previous prime is 8064799. The next prime is 8064809. The reversal of 8064800 is 84608.

It can be written as a sum of positive squares in 6 ways, for example, as 4545424 + 3519376 = 2132^2 + 1876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8064800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13304 + ... + 13896.

Almost surely, 2^8064800 is an apocalyptic number.

8064800 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 8064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440738).

8064800 is an abundant number, since it is smaller than the sum of its proper divisors (12816676).

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

8064800 is a wasteful number, since it uses less digits than its factorization.

8064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8064800 is about 2839.8591514369. The cubic root of 8064800 is about 200.5385485258.

The spelling of 8064800 in words is "eight million, sixty-four thousand, eight hundred".