802365325440 has 768 divisors, whose sum is σ = 3167188128000. Its totient is φ = 171674173440.

The previous prime is 802365325397. The next prime is 802365325441. The reversal of 802365325440 is 44523563208.

It is a happy number.

It is a super-2 number, since 2×802365325440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 802365325392 and 802365325401.

It is not an unprimeable number, because it can be changed into a prime (802365325441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318271380 + ... + 318273900.

It is an arithmetic number, because the mean of its divisors is an integer number (4123942875).

Almost surely, 2^802365325440 is an apocalyptic number.

802365325440 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 802365325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583594064000).

802365325440 is an abundant number, since it is smaller than the sum of its proper divisors (2364822802560).

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

802365325440 is a wasteful number, since it uses less digits than its factorization.

802365325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 802365325440 its reverse (44523563208), we get a palindrome (846888888648).

The spelling of 802365325440 in words is "eight hundred two billion, three hundred sixty-five million, three hundred twenty-five thousand, four hundred forty".