805775040 has 280 divisors, whose sum is σ = 3276490272. Its totient is φ = 184135680.

The previous prime is 805775021. The next prime is 805775051. The reversal of 805775040 is 40577508.

805775040 is a `hidden beast` number, since 80 + 5 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 805774986 and 805775004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179220 + ... + 183660.

Almost surely, 2^805775040 is an apocalyptic number.

805775040 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 805775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638245136).

805775040 is an abundant number, since it is smaller than the sum of its proper divisors (2470715232).

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

805775040 is a wasteful number, since it uses less digits than its factorization.

805775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 805775040 is about 28386.1769176478. The cubic root of 805775040 is about 930.5461932033.

The spelling of 805775040 in words is "eight hundred five million, seven hundred seventy-five thousand, forty".