78619764326400 has 2772 divisors, whose sum is σ = 340224671106306. Its totient is φ = 17938199347200.

The previous prime is 78619764326303. The next prime is 78619764326413. The reversal of 78619764326400 is 462346791687.

It is a happy number.

78619764326400 is a `hidden beast` number, since 7 + 8 + 6 + 197 + 6 + 4 + 32 + 6 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 67428009639936 + 11191754686464 = 8211456^2 + 3345408^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 4624692019192 + ... + 4624692019208.

Almost surely, 2^{78619764326400} 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 78619764326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170112335553153).

78619764326400 is an abundant number, since it is smaller than the sum of its proper divisors (261604906779906).

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

78619764326400 is an frugal number, since it uses more digits than its factorization.

78619764326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 78619764326400 in words is "seventy-eight trillion, six hundred nineteen billion, seven hundred sixty-four million, three hundred twenty-six thousand, four hundred".