804875200 has 168 divisors, whose sum is σ = 2122578432. Its totient is φ = 299335680.

The previous prime is 804875189. The next prime is 804875213. The reversal of 804875200 is 2578408.

It is a super-3 number, since 3×804875200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3454284 + ... + 3454516.

Almost surely, 2^804875200 is an apocalyptic number.

804875200 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 804875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061289216).

804875200 is an abundant number, since it is smaller than the sum of its proper divisors (1317703232).

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

804875200 is a wasteful number, since it uses less digits than its factorization.

804875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 804875200 is about 28370.3225219595. The cubic root of 804875200 is about 930.1996719304.

The spelling of 804875200 in words is "eight hundred four million, eight hundred seventy-five thousand, two hundred".