7802960223100 has 144 divisors (see below), whose sum is σ = 20027463785280. Its totient is φ = 2581908940800.

The previous prime is 7802960223089. The next prime is 7802960223131. The reversal of 7802960223100 is 13220692087.

It is a super-2 number, since 2×7802960223100² (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 47 ways as a sum of consecutive naturals, for example, 46545430 + ... + 46712770.

It is an arithmetic number, because the mean of its divisors is an integer number (139079609620).

Almost surely, 2^{7802960223100} is an apocalyptic number.

7802960223100 is a gapful number since it is divisible by the number (70) 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 7802960223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013731892640).

7802960223100 is an abundant number, since it is smaller than the sum of its proper divisors (12224503562180).

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

7802960223100 is a wasteful number, since it uses less digits than its factorization.

7802960223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169688 (or 169681 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 7802960223100 in words is "seven trillion, eight hundred two billion, nine hundred sixty million, two hundred twenty-three thousand, one hundred".