802829643330 has 384 divisors, whose sum is σ = 2389796978688. Its totient is φ = 171243072000.

The previous prime is 802829643311. The next prime is 802829643347. The reversal of 802829643330 is 33346928208.

It is a self number, because there is not a number n which added to its sum of digits gives 802829643330.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98009535 + ... + 98017725.

It is an arithmetic number, because the mean of its divisors is an integer number (6223429632).

Almost surely, 2^802829643330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802829643330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194898489344).

802829643330 is an abundant number, since it is smaller than the sum of its proper divisors (1586967335358).

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

802829643330 is a wasteful number, since it uses less digits than its factorization.

802829643330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 802829643330 in words is "eight hundred two billion, eight hundred twenty-nine million, six hundred forty-three thousand, three hundred thirty".