805714400 has 72 divisors (see below), whose sum is σ = 1977623424. Its totient is φ = 320537600.

The previous prime is 805714363. The next prime is 805714409. The reversal of 805714400 is 4417508.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805714409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150164 + ... + 155436.

It is an arithmetic number, because the mean of its divisors is an integer number (27466992).

Almost surely, 2^805714400 is an apocalyptic number.

805714400 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 805714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988811712).

805714400 is an abundant number, since it is smaller than the sum of its proper divisors (1171909024).

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

805714400 is a wasteful number, since it uses less digits than its factorization.

805714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 805714400 is about 28385.1087720304. The cubic root of 805714400 is about 930.5228493278.

The spelling of 805714400 in words is "eight hundred five million, seven hundred fourteen thousand, four hundred".