805772800 has 360 divisors, whose sum is σ = 2525369616. Its totient is φ = 248709120.

The previous prime is 805772797. The next prime is 805772819. The reversal of 805772800 is 8277508.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 805772800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35033589 + ... + 35033611.

Almost surely, 2^805772800 is an apocalyptic number.

805772800 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 805772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262684808).

805772800 is an abundant number, since it is smaller than the sum of its proper divisors (1719596816).

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

805772800 is a wasteful number, since it uses less digits than its factorization.

805772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 805772800 is about 28386.1374617964. The cubic root of 805772800 is about 930.5453309174.

The spelling of 805772800 in words is "eight hundred five million, seven hundred seventy-two thousand, eight hundred".