805928400 has 120 divisors (see below), whose sum is σ = 2868546560. Its totient is φ = 214911360.

The previous prime is 805928381. The next prime is 805928407. The reversal of 805928400 is 4829508.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805928407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26512 + ... + 48111.

Almost surely, 2^805928400 is an apocalyptic number.

805928400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

805928400 is an abundant number, since it is smaller than the sum of its proper divisors (2062618160).

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

805928400 is a wasteful number, since it uses less digits than its factorization.

805928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74650 (or 74633 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 805928400 is about 28388.8781039336. The cubic root of 805928400 is about 930.6052251930.

The spelling of 805928400 in words is "eight hundred five million, nine hundred twenty-eight thousand, four hundred".