805401600 has 132 divisors (see below), whose sum is σ = 2662148064. Its totient is φ = 214753280.

The previous prime is 805401593. The next prime is 805401643. The reversal of 805401600 is 6104508.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71557 + ... + 82043.

Almost surely, 2^805401600 is an apocalyptic number.

805401600 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 805401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331074032).

805401600 is an abundant number, since it is smaller than the sum of its proper divisors (1856746464).

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

805401600 is a wasteful number, since it uses less digits than its factorization.

805401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 805401600 is about 28379.5983058253. The cubic root of 805401600 is about 930.4024157423.

The spelling of 805401600 in words is "eight hundred five million, four hundred one thousand, six hundred".