78817224960 has 864 divisors, whose sum is σ = 296987378688. Its totient is φ = 19996139520.

The previous prime is 78817224923. The next prime is 78817224961. The reversal of 78817224960 is 6942271887.

It is a happy number.

78817224960 is a `hidden beast` number, since 7 + 8 + 81 + 72 + 2 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78817224897 and 78817224906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78817224961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949605079 + ... + 949605161.

It is an arithmetic number, because the mean of its divisors is an integer number (343735392).

Almost surely, 2^78817224960 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 78817224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148493689344).

78817224960 is an abundant number, since it is smaller than the sum of its proper divisors (218170153728).

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

78817224960 is an equidigital number, since it uses as much as digits as its factorization.

78817224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 78817224960 in words is "seventy-eight billion, eight hundred seventeen million, two hundred twenty-four thousand, nine hundred sixty".