805334400 has 480 divisors, whose sum is σ = 3213856800. Its totient is φ = 197406720.

The previous prime is 805334393. The next prime is 805334459. The reversal of 805334400 is 4433508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369481 + ... + 3369719.

It is an arithmetic number, because the mean of its divisors is an integer number (6695535).

Almost surely, 2^805334400 is an apocalyptic number.

805334400 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 805334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606928400).

805334400 is an abundant number, since it is smaller than the sum of its proper divisors (2408522400).

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

805334400 is a wasteful number, since it uses less digits than its factorization.

805334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 805334400 is about 28378.4143320236. The cubic root of 805334400 is about 930.3765384734.

Adding to 805334400 its reverse (4433508), we get a palindrome (809767908).

The spelling of 805334400 in words is "eight hundred five million, three hundred thirty-four thousand, four hundred".