803030400 has 144 divisors (see below), whose sum is σ = 2865499260. Its totient is φ = 214133760.

The previous prime is 803030369. The next prime is 803030419. The reversal of 803030400 is 4030308.

803030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14859 + ... + 42741.

Almost surely, 2^803030400 is an apocalyptic number.

803030400 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 803030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432749630).

803030400 is an abundant number, since it is smaller than the sum of its proper divisors (2062468860).

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

803030400 is a wasteful number, since it uses less digits than its factorization.

803030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27913 (or 27893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 803030400 is about 28337.7910218845. The cubic root of 803030400 is about 929.4884456873.

Adding to 803030400 its reverse (4030308), we get a palindrome (807060708).

The spelling of 803030400 in words is "eight hundred three million, thirty thousand, four hundred".