78325657344 has 432 divisors, whose sum is σ = 264363765120. Its totient is φ = 22910791680.

The previous prime is 78325657339. The next prime is 78325657351. The reversal of 78325657344 is 44375652387.

It is a happy number.

78325657344 is a `hidden beast` number, since 7 + 8 + 3 + 2 + 565 + 73 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×78325657344² (a number of 23 digits) contains 22 as substring.

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

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, 19842379 + ... + 19846325.

It is an arithmetic number, because the mean of its divisors is an integer number (611953160).

Almost surely, 2^78325657344 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 78325657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132181882560).

78325657344 is an abundant number, since it is smaller than the sum of its proper divisors (186038107776).

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

78325657344 is a wasteful number, since it uses less digits than its factorization.

78325657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 3992 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 78325657344 in words is "seventy-eight billion, three hundred twenty-five million, six hundred fifty-seven thousand, three hundred forty-four".