809374339200 has 384 divisors, whose sum is σ = 3085302528000. Its totient is φ = 182656880640.

The previous prime is 809374339171. The next prime is 809374339223. The reversal of 809374339200 is 2933473908.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 809374339200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5232571 + ... + 5385029.

It is an arithmetic number, because the mean of its divisors is an integer number (8034642000).

Almost surely, 2^809374339200 is an apocalyptic number.

809374339200 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 809374339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542651264000).

809374339200 is an abundant number, since it is smaller than the sum of its proper divisors (2275928188800).

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

809374339200 is a wasteful number, since it uses less digits than its factorization.

809374339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152572 (or 152555 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 809374339200 in words is "eight hundred nine billion, three hundred seventy-four million, three hundred thirty-nine thousand, two hundred".