802227843900 has 864 divisors, whose sum is σ = 3183171264000. Its totient is φ = 164840417280.

The previous prime is 802227843883. The next prime is 802227843913. The reversal of 802227843900 is 9348722208.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 204804742 + ... + 204808658.

It is an arithmetic number, because the mean of its divisors is an integer number (3684226000).

Almost surely, 2^802227843900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802227843900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591585632000).

802227843900 is an abundant number, since it is smaller than the sum of its proper divisors (2380943420100).

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

802227843900 is a wasteful number, since it uses less digits than its factorization.

802227843900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 802227843900 in words is "eight hundred two billion, two hundred twenty-seven million, eight hundred forty-three thousand, nine hundred".