78387897600000 has 1728 divisors, whose sum is σ = 301748275155600. Its totient is φ = 19602800640000.

The previous prime is 78387897599993. The next prime is 78387897600011. The reversal of 78387897600000 is 679878387.

It can be written as a sum of positive squares in 24 ways, for example, as 71431976641536 + 6955920958464 = 8451744^2 + 2637408^2 .

It is a super-2 number, since 2×78387897600000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 282988799862 + ... + 282988800138.

Almost surely, 2^{78387897600000} 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 78387897600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150874137577800).

78387897600000 is an abundant number, since it is smaller than the sum of its proper divisors (223360377555600).

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

78387897600000 is an frugal number, since it uses more digits than its factorization.

78387897600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 78387897600000 in words is "seventy-eight trillion, three hundred eighty-seven billion, eight hundred ninety-seven million, six hundred thousand".