805127040 has 384 divisors, whose sum is σ = 2994001920. Its totient is φ = 206530560.

The previous prime is 805127023. The next prime is 805127051. The reversal of 805127040 is 40721508.

805127040 is a `hidden beast` number, since 80 + 512 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 805126995 and 805127013.

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, 4821037 + ... + 4821203.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^805127040 is an apocalyptic number.

805127040 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 805127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

805127040 is an abundant number, since it is smaller than the sum of its proper divisors (2188874880).

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

805127040 is a wasteful number, since it uses less digits than its factorization.

805127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 805127040 is about 28374.7606157303. The cubic root of 805127040 is about 930.2966795397.

Adding to 805127040 its reverse (40721508), we get a palindrome (845848548).

The spelling of 805127040 in words is "eight hundred five million, one hundred twenty-seven thousand, forty".