78327524352000 has 1344 divisors, whose sum is σ = 327449140042752. Its totient is φ = 16275308544000.

The previous prime is 78327524351969. The next prime is 78327524352019. The reversal of 78327524352000 is 25342572387.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×78327524352000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 2601968949 + ... + 2601999051.

It is an arithmetic number, because the mean of its divisors is an integer number (243637753008).

Almost surely, 2^{78327524352000} is an apocalyptic number.

78327524352000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78327524352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163724570021376).

78327524352000 is an abundant number, since it is smaller than the sum of its proper divisors (249121615690752).

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

78327524352000 is a wasteful number, since it uses less digits than its factorization.

78327524352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30176 (or 30131 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 78327524352000 in words is "seventy-eight trillion, three hundred twenty-seven billion, five hundred twenty-four million, three hundred fifty-two thousand".