78798228848640 has 3072 divisors, whose sum is σ = 350502990048000. Its totient is φ = 16741130305536.

The previous prime is 78798228848627. The next prime is 78798228848711. The reversal of 78798228848640 is 4684882289787.

78798228848640 is a `hidden beast` number, since 7 + 8 + 7 + 98 + 2 + 2 + 8 + 8 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×78798228848640² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78798228848640.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1486759034854 + ... + 1486759034906.

Almost surely, 2^{78798228848640} is an apocalyptic number.

78798228848640 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 78798228848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175251495024000).

78798228848640 is an abundant number, since it is smaller than the sum of its proper divisors (271704761199360).

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

78798228848640 is an frugal number, since it uses more digits than its factorization.

78798228848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5549064192, while the sum is 81.

The spelling of 78798228848640 in words is "seventy-eight trillion, seven hundred ninety-eight billion, two hundred twenty-eight million, eight hundred forty-eight thousand, six hundred forty".