802820160 has 280 divisors, whose sum is σ = 2920959360. Its totient is φ = 209212416.

The previous prime is 802820159. The next prime is 802820173. The reversal of 802820160 is 61028208.

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 39 ways as a sum of consecutive naturals, for example, 1217911 + ... + 1218569.

Almost surely, 2^802820160 is an apocalyptic number.

802820160 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 802820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460479680).

802820160 is an abundant number, since it is smaller than the sum of its proper divisors (2118139200).

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

802820160 is a wasteful number, since it uses less digits than its factorization.

802820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 802820160 is about 28334.0812450307. The cubic root of 802820160 is about 929.4073226866.

Adding to 802820160 its reverse (61028208), we get a palindrome (863848368).

The spelling of 802820160 in words is "eight hundred two million, eight hundred twenty thousand, one hundred sixty".