802819360 has 96 divisors (see below), whose sum is σ = 2220607872. Its totient is φ = 268523520.

The previous prime is 802819357. The next prime is 802819379. The reversal of 802819360 is 63918208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37179 + ... + 54661.

It is an arithmetic number, because the mean of its divisors is an integer number (23131332).

Almost surely, 2^802819360 is an apocalyptic number.

802819360 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 802819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110303936).

802819360 is an abundant number, since it is smaller than the sum of its proper divisors (1417788512).

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

802819360 is a wasteful number, since it uses less digits than its factorization.

802819360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17546 (or 17538 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 802819360 is about 28334.0671277528. The cubic root of 802819360 is about 929.4070139723.

The spelling of 802819360 in words is "eight hundred two million, eight hundred nineteen thousand, three hundred sixty".