805374000 has 240 divisors, whose sum is σ = 2847165984. Its totient is φ = 212160000.

The previous prime is 805373941. The next prime is 805374001. The reversal of 805374000 is 473508.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (805374001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817779 + ... + 1818221.

Almost surely, 2^805374000 is an apocalyptic number.

805374000 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 805374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423582992).

805374000 is an abundant number, since it is smaller than the sum of its proper divisors (2041791984).

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

805374000 is a wasteful number, since it uses less digits than its factorization.

805374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 805374000 is about 28379.1120368485. The cubic root of 805374000 is about 930.3917877525.

The spelling of 805374000 in words is "eight hundred five million, three hundred seventy-four thousand".