803651200 has 288 divisors, whose sum is σ = 2329761600. Its totient is φ = 271564800.

The previous prime is 803651197. The next prime is 803651207. The reversal of 803651200 is 2156308.

It is a happy number.

It is a super-2 number, since 2×803651200² = 1291710502522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (803651207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10172761 + ... + 10172839.

It is an arithmetic number, because the mean of its divisors is an integer number (8089450).

Almost surely, 2^803651200 is an apocalyptic number.

803651200 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 803651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164880800).

803651200 is an abundant number, since it is smaller than the sum of its proper divisors (1526110400).

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

803651200 is a wasteful number, since it uses less digits than its factorization.

803651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 803651200 is about 28348.7424765191. The cubic root of 803651200 is about 929.7279043664.

The spelling of 803651200 in words is "eight hundred three million, six hundred fifty-one thousand, two hundred".