802641420 has 192 divisors, whose sum is σ = 2924006400. Its totient is φ = 178951680.

The previous prime is 802641403. The next prime is 802641421. The reversal of 802641420 is 24146208.

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

It is not an unprimeable number, because it can be changed into a prime (802641421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 152391 + ... + 157569.

It is an arithmetic number, because the mean of its divisors is an integer number (15229200).

Almost surely, 2^802641420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802641420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462003200).

802641420 is an abundant number, since it is smaller than the sum of its proper divisors (2121364980).

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

802641420 is a wasteful number, since it uses less digits than its factorization.

802641420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5237 counting only the distinct ones).

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

The square root of 802641420 is about 28330.9269174166. The cubic root of 802641420 is about 929.3383431056.

Adding to 802641420 its reverse (24146208), we get a palindrome (826787628).

The spelling of 802641420 in words is "eight hundred two million, six hundred forty-one thousand, four hundred twenty".