78028640524800 has 1080 divisors, whose sum is σ = 326295570496896. Its totient is φ = 17754853294080.

The previous prime is 78028640524763. The next prime is 78028640524837. The reversal of 78028640524800 is 842504682087.

78028640524800 is a `hidden beast` number, since 7 + 80 + 2 + 86 + 4 + 0 + 5 + 2 + 480 + 0 = 666.

78028640524800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (78028640524763) and next prime (78028640524837).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1258759407 + ... + 1258821393.

Almost surely, 2^{78028640524800} is an apocalyptic number.

78028640524800 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 78028640524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163147785248448).

78028640524800 is an abundant number, since it is smaller than the sum of its proper divisors (248266929972096).

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

78028640524800 is a wasteful number, since it uses less digits than its factorization.

78028640524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62258 (or 62227 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 78028640524800 in words is "seventy-eight trillion, twenty-eight billion, six hundred forty million, five hundred twenty-four thousand, eight hundred".