802282320 has 400 divisors, whose sum is σ = 3327287040. Its totient is φ = 175177728.

The previous prime is 802282307. The next prime is 802282363. The reversal of 802282320 is 23282208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1042896 + ... + 1043664.

Almost surely, 2^802282320 is an apocalyptic number.

802282320 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 802282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663643520).

802282320 is an abundant number, since it is smaller than the sum of its proper divisors (2525004720).

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

802282320 is a wasteful number, since it uses less digits than its factorization.

802282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 802282320 is about 28324.5886113108. The cubic root of 802282320 is about 929.1997277902.

The spelling of 802282320 in words is "eight hundred two million, two hundred eighty-two thousand, three hundred twenty".