805282800 has 240 divisors, whose sum is σ = 3028948992. Its totient is φ = 179020800.

The previous prime is 805282789. The next prime is 805282811. The reversal of 805282800 is 8282508.

It is an interprime number because it is at equal distance from previous prime (805282789) and next prime (805282811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309505 + ... + 312095.

Almost surely, 2^805282800 is an apocalyptic number.

805282800 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 805282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514474496).

805282800 is an abundant number, since it is smaller than the sum of its proper divisors (2223666192).

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

805282800 is a wasteful number, since it uses less digits than its factorization.

805282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 805282800 is about 28377.5051757550. The cubic root of 805282800 is about 930.3566674506.

The spelling of 805282800 in words is "eight hundred five million, two hundred eighty-two thousand, eight hundred".