802214200 has 144 divisors (see below), whose sum is σ = 2023932960. Its totient is φ = 295488000.

The previous prime is 802214197. The next prime is 802214239. The reversal of 802214200 is 2412208.

802214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2960065 + ... + 2960335.

It is an arithmetic number, because the mean of its divisors is an integer number (14055090).

Almost surely, 2^802214200 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 802214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011966480).

802214200 is an abundant number, since it is smaller than the sum of its proper divisors (1221718760).

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

802214200 is a wasteful number, since it uses less digits than its factorization.

802214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 802214200 is about 28323.3860970047. The cubic root of 802214200 is about 929.1734282879.

Adding to 802214200 its reverse (2412208), we get a palindrome (804626408).

It can be divided in two parts, 8022 and 14200, that added together give a palindrome (22222).

The spelling of 802214200 in words is "eight hundred two million, two hundred fourteen thousand, two hundred".