805955040 has 576 divisors, whose sum is σ = 3298905792. Its totient is φ = 176947200.

The previous prime is 805955027. The next prime is 805955131. The reversal of 805955040 is 40559508.

It is a happy number.

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 = 805954986 and 805955004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11040444 + ... + 11040516.

It is an arithmetic number, because the mean of its divisors is an integer number (5727267).

Almost surely, 2^805955040 is an apocalyptic number.

805955040 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 805955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649452896).

805955040 is an abundant number, since it is smaller than the sum of its proper divisors (2492950752).

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

805955040 is a wasteful number, since it uses less digits than its factorization.

805955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 805955040 is about 28389.3472978862. The cubic root of 805955040 is about 930.6154788127.

The spelling of 805955040 in words is "eight hundred five million, nine hundred fifty-five thousand, forty".