802240450560 has 416 divisors, whose sum is σ = 2857607930880. Its totient is φ = 213515108352.

The previous prime is 802240450499. The next prime is 802240450567. The reversal of 802240450560 is 65054042208.

It is a happy number.

802240450560 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 40 + 4 + 50 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802240450567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374352849 + ... + 374354991.

Almost surely, 2^802240450560 is an apocalyptic number.

802240450560 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 802240450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428803965440).

802240450560 is an abundant number, since it is smaller than the sum of its proper divisors (2055367480320).

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

802240450560 is a wasteful number, since it uses less digits than its factorization.

802240450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 802240450560 its reverse (65054042208), we get a palindrome (867294492768).

The spelling of 802240450560 in words is "eight hundred two billion, two hundred forty million, four hundred fifty thousand, five hundred sixty".