7802289192960 has 612 divisors, whose sum is σ = 27958534286436. Its totient is φ = 2012762603520.

The previous prime is 7802289192829. The next prime is 7802289192977. The reversal of 7802289192960 is 692919822087.

It is a happy number.

7802289192960 is a `hidden beast` number, since 7 + 80 + 2 + 289 + 192 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5333217509376 + 2469071683584 = 2309376^2 + 1571328^2 .

It is a super-2 number, since 2×7802289192960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2834102944 + ... + 2834105696.

It is an arithmetic number, because the mean of its divisors is an integer number (45683879553).

Almost surely, 2^{7802289192960} 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 7802289192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979267143218).

7802289192960 is an abundant number, since it is smaller than the sum of its proper divisors (20156245093476).

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

7802289192960 is an equidigital number, since it uses as much as digits as its factorization.

7802289192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 7802289192960 in words is "seven trillion, eight hundred two billion, two hundred eighty-nine million, one hundred ninety-two thousand, nine hundred sixty".