805814400 has 96 divisors (see below), whose sum is σ = 2654182800. Its totient is φ = 214881280.

The previous prime is 805814393. The next prime is 805814419. The reversal of 805814400 is 4418508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32370 + ... + 51569.

Almost surely, 2^805814400 is an apocalyptic number.

805814400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

805814400 is an abundant number, since it is smaller than the sum of its proper divisors (1848368400).

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

805814400 is a wasteful number, since it uses less digits than its factorization.

805814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83966 (or 83949 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 805814400 is about 28386.8702043744. The cubic root of 805814400 is about 930.5613445380.

The spelling of 805814400 in words is "eight hundred five million, eight hundred fourteen thousand, four hundred".