805401792 has 560 divisors, whose sum is σ = 2943087840. Its totient is φ = 214990848.

The previous prime is 805401749. The next prime is 805401803. The reversal of 805401792 is 297104508.

It is a super-2 number, since 2×805401792² = 1297344093113622528, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21767598 + ... + 21767634.

It is an arithmetic number, because the mean of its divisors is an integer number (5255514).

Almost surely, 2^805401792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471543920).

805401792 is an abundant number, since it is smaller than the sum of its proper divisors (2137686048).

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

805401792 is a wasteful number, since it uses less digits than its factorization.

805401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 805401792 is about 28379.6016885368. The cubic root of 805401792 is about 930.4024896753.

The spelling of 805401792 in words is "eight hundred five million, four hundred one thousand, seven hundred ninety-two".