805122720 has 384 divisors, whose sum is σ = 3146169600. Its totient is φ = 191102976.

The previous prime is 805122697. The next prime is 805122727. The reversal of 805122720 is 27221508.

805122720 is a `hidden beast` number, since 80 + 512 + 2 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (805122727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395072 + ... + 1395648.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2^805122720 is an apocalyptic number.

805122720 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 805122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573084800).

805122720 is an abundant number, since it is smaller than the sum of its proper divisors (2341046880).

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

805122720 is a wasteful number, since it uses less digits than its factorization.

805122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

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

The square root of 805122720 is about 28374.6844916380. The cubic root of 805122720 is about 930.2950156661.

The spelling of 805122720 in words is "eight hundred five million, one hundred twenty-two thousand, seven hundred twenty".