802560000 has 480 divisors, whose sum is σ = 3070267200. Its totient is φ = 184320000.

The previous prime is 802559993. The next prime is 802560001. The reversal of 802560000 is 65208.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802560001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42239991 + ... + 42240009.

It is an arithmetic number, because the mean of its divisors is an integer number (6396390).

Almost surely, 2^802560000 is an apocalyptic number.

802560000 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 802560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535133600).

802560000 is an abundant number, since it is smaller than the sum of its proper divisors (2267707200).

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

802560000 is a wasteful number, since it uses less digits than its factorization.

802560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 802560000 is about 28329.4899354012. The cubic root of 802560000 is about 929.3069179948.

The spelling of 802560000 in words is "eight hundred two million, five hundred sixty thousand".