805204800 has 504 divisors, whose sum is σ = 3152749600. Its totient is φ = 201553920.

The previous prime is 805204789. The next prime is 805204811. The reversal of 805204800 is 8402508.

It is an interprime number because it is at equal distance from previous prime (805204789) and next prime (805204811).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7387146 + ... + 7387254.

Almost surely, 2^805204800 is an apocalyptic number.

805204800 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 805204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576374800).

805204800 is an abundant number, since it is smaller than the sum of its proper divisors (2347544800).

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

805204800 is a wasteful number, since it uses less digits than its factorization.

805204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 805204800 is about 28376.1308144715. The cubic root of 805204800 is about 930.3266282465.

The spelling of 805204800 in words is "eight hundred five million, two hundred four thousand, eight hundred".