803049600 has 192 divisors, whose sum is σ = 2760805440. Its totient is φ = 204779520.

The previous prime is 803049593. The next prime is 803049601. The reversal of 803049600 is 6940308.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (803049601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218982 + ... + 222618.

It is an arithmetic number, because the mean of its divisors is an integer number (14379195).

Almost surely, 2^803049600 is an apocalyptic number.

803049600 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 803049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380402720).

803049600 is an abundant number, since it is smaller than the sum of its proper divisors (1957755840).

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

803049600 is a wasteful number, since it uses less digits than its factorization.

803049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 803049600 is about 28338.1297900902. The cubic root of 803049600 is about 929.4958534749.

Adding to 803049600 its reverse (6940308), we get a palindrome (809989908).

It can be divided in two parts, 8030 and 49600, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 803049600 in words is "eight hundred three million, forty-nine thousand, six hundred".