802800180000 has 2880 divisors, whose sum is σ = 3939955810560. Its totient is φ = 154275840000.

The previous prime is 802800179981. The next prime is 802800180037. The reversal of 802800180000 is 81008208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25896779985 + ... + 25896780015.

It is an arithmetic number, because the mean of its divisors is an integer number (1368040212).

Almost surely, 2^802800180000 is an apocalyptic number.

802800180000 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 802800180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969977905280).

802800180000 is an abundant number, since it is smaller than the sum of its proper divisors (3137155630560).

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

802800180000 is a wasteful number, since it uses less digits than its factorization.

802800180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 802800180000 its reverse (81008208), we get a palindrome (802881188208).

The spelling of 802800180000 in words is "eight hundred two billion, eight hundred million, one hundred eighty thousand".