802832224320 has 672 divisors, whose sum is σ = 3346484544000. Its totient is φ = 172454510592.

The previous prime is 802832224291. The next prime is 802832224333. The reversal of 802832224320 is 23422238208.

802832224320 is a `hidden beast` number, since 8 + 0 + 2 + 8 + 322 + 2 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314958406 + ... + 314960954.

Almost surely, 2^802832224320 is an apocalyptic number.

802832224320 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 802832224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673242272000).

802832224320 is an abundant number, since it is smaller than the sum of its proper divisors (2543652319680).

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

802832224320 is a wasteful number, since it uses less digits than its factorization.

802832224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 802832224320 in words is "eight hundred two billion, eight hundred thirty-two million, two hundred twenty-four thousand, three hundred twenty".