803112400 has 60 divisors (see below), whose sum is σ = 1934589100. Its totient is φ = 320394240.

The previous prime is 803112391. The next prime is 803112421. The reversal of 803112400 is 4211308.

It can be written as a sum of positive squares in 6 ways, for example, as 153066384 + 650046016 = 12372^2 + 25496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161146 + ... + 166054.

Almost surely, 2^803112400 is an apocalyptic number.

803112400 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 803112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967294550).

803112400 is an abundant number, since it is smaller than the sum of its proper divisors (1131476700).

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

803112400 is a wasteful number, since it uses less digits than its factorization.

803112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 803112400 is about 28339.2378161446. The cubic root of 803112400 is about 929.5200822889.

Adding to 803112400 its reverse (4211308), we get a palindrome (807323708).

The spelling of 803112400 in words is "eight hundred three million, one hundred twelve thousand, four hundred".