804062800 has 60 divisors (see below), whose sum is σ = 1948965660. Its totient is φ = 318760960.

The previous prime is 804062761. The next prime is 804062813. The reversal of 804062800 is 8260408.

804062800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18045504 + 786017296 = 4248^2 + 28036^2 .

It is a congruent number.

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, 36306 + ... + 54094.

It is an arithmetic number, because the mean of its divisors is an integer number (32482761).

Almost surely, 2^804062800 is an apocalyptic number.

804062800 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 804062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974482830).

804062800 is an abundant number, since it is smaller than the sum of its proper divisors (1144902860).

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

804062800 is a wasteful number, since it uses less digits than its factorization.

804062800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17920 (or 17909 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 804062800 is about 28356.0011285089. The cubic root of 804062800 is about 929.8866011963.

The spelling of 804062800 in words is "eight hundred four million, sixty-two thousand, eight hundred".