809870400 has 252 divisors, whose sum is σ = 2986513712. Its totient is φ = 215861760.

The previous prime is 809870387. The next prime is 809870423. The reversal of 809870400 is 4078908.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387759 + ... + 389841.

Almost surely, 2^809870400 is an apocalyptic number.

809870400 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 809870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493256856).

809870400 is an abundant number, since it is smaller than the sum of its proper divisors (2176643312).

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

809870400 is a wasteful number, since it uses less digits than its factorization.

809870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 809870400 is about 28458.2220105192. Note that the first 3 decimals coincide. The cubic root of 809870400 is about 932.1200334143.

The spelling of 809870400 in words is "eight hundred nine million, eight hundred seventy thousand, four hundred".