802031130208 has 144 divisors (see below), whose sum is σ = 1984447503360. Its totient is φ = 312336034560.

The previous prime is 802031130151. The next prime is 802031130217.

802031130208 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73690335 + ... + 73701217.

It is an arithmetic number, because the mean of its divisors is an integer number (13780885440).

Almost surely, 2^802031130208 is an apocalyptic number.

802031130208 is a gapful number since it is divisible by the number (88) 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 802031130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992223751680).

802031130208 is an abundant number, since it is smaller than the sum of its proper divisors (1182416373152).

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

802031130208 is a wasteful number, since it uses less digits than its factorization.

802031130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13641 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 802031 and 130208, that added together give a palindrome (932239).

The spelling of 802031130208 in words is "eight hundred two billion, thirty-one million, one hundred thirty thousand, two hundred eight".