78256324608000 has 4608 divisors, whose sum is σ = 361806664826880. Its totient is φ = 14533263360000.

The previous prime is 78256324607999. The next prime is 78256324608017. The reversal of 78256324608000 is 80642365287.

It is a super-2 number, since 2×78256324608000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2524397567985 + ... + 2524397568015.

It is an arithmetic number, because the mean of its divisors is an integer number (78517071360).

Almost surely, 2^{78256324608000} is an apocalyptic number.

78256324608000 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 78256324608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180903332413440).

78256324608000 is an abundant number, since it is smaller than the sum of its proper divisors (283550340218880).

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

78256324608000 is a wasteful number, since it uses less digits than its factorization.

78256324608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 78256324608000 in words is "seventy-eight trillion, two hundred fifty-six billion, three hundred twenty-four million, six hundred eight thousand".