78927281664 has 960 divisors, whose sum is σ = 289794785280. Its totient is φ = 18612633600.

The previous prime is 78927281663. The next prime is 78927281677. The reversal of 78927281664 is 46618272987.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 78927281598 and 78927281607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78927281663) 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, 766284237 + ... + 766284339.

It is an arithmetic number, because the mean of its divisors is an integer number (301869568).

Almost surely, 2^78927281664 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 78927281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144897392640).

78927281664 is an abundant number, since it is smaller than the sum of its proper divisors (210867503616).

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

78927281664 is a wasteful number, since it uses less digits than its factorization.

78927281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 78927281664 in words is "seventy-eight billion, nine hundred twenty-seven million, two hundred eighty-one thousand, six hundred sixty-four".