805025760 has 384 divisors, whose sum is σ = 3302498304. Its totient is φ = 159836160.

The previous prime is 805025743. The next prime is 805025779. The reversal of 805025760 is 67520508.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849607 + ... + 850553.

It is an arithmetic number, because the mean of its divisors is an integer number (8600256).

Almost surely, 2^805025760 is an apocalyptic number.

805025760 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 805025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651249152).

805025760 is an abundant number, since it is smaller than the sum of its proper divisors (2497472544).

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

805025760 is a wasteful number, since it uses less digits than its factorization.

805025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 805025760 is about 28372.9758749413. The cubic root of 805025760 is about 930.2576693818.

The spelling of 805025760 in words is "eight hundred five million, twenty-five thousand, seven hundred sixty".