805376000 has 312 divisors, whose sum is σ = 2379256152. Its totient is φ = 270336000.

The previous prime is 805375897. The next prime is 805376017. The reversal of 805376000 is 673508.

It can be written as a sum of positive squares in 4 ways, for example, as 126877696 + 678498304 = 11264^2 + 26048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61951994 + ... + 61952006.

It is an arithmetic number, because the mean of its divisors is an integer number (7625821).

Almost surely, 2^805376000 is an apocalyptic number.

805376000 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 805376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189628076).

805376000 is an abundant number, since it is smaller than the sum of its proper divisors (1573880152).

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

805376000 is a wasteful number, since it uses less digits than its factorization.

805376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 805376000 is about 28379.1472740109. The cubic root of 805376000 is about 930.3925579049.

The spelling of 805376000 in words is "eight hundred five million, three hundred seventy-six thousand".