78807696530400 has 1152 divisors, whose sum is σ = 302503238553600. Its totient is φ = 19745229772800.

The previous prime is 78807696530399. The next prime is 78807696530429. The reversal of 78807696530400 is 403569670887.

78807696530400 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 7 + 6 + 96 + 530 + 4 + 0 + 0 = 666.

It is a congruent number.

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, 42210870267 + ... + 42210872133.

It is an arithmetic number, because the mean of its divisors is an integer number (262589616800).

Almost surely, 2^{78807696530400} 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 78807696530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151251619276800).

78807696530400 is an abundant number, since it is smaller than the sum of its proper divisors (223695542023200).

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

78807696530400 is a wasteful number, since it uses less digits than its factorization.

78807696530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 78807696530400 in words is "seventy-eight trillion, eight hundred seven billion, six hundred ninety-six million, five hundred thirty thousand, four hundred".