78771498775200 has 864 divisors, whose sum is σ = 359134448924160. Its totient is φ = 16368100531200.

The previous prime is 78771498775147. The next prime is 78771498775223. The reversal of 78771498775200 is 257789417787.

78771498775200 is a `hidden beast` number, since 7 + 8 + 7 + 7 + 1 + 4 + 98 + 7 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 12337611 + ... + 17599989.

It is an arithmetic number, because the mean of its divisors is an integer number (415664871440).

Almost surely, 2^{78771498775200} is an apocalyptic number.

78771498775200 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 78771498775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179567224462080).

78771498775200 is an abundant number, since it is smaller than the sum of its proper divisors (280362950148960).

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

78771498775200 is a wasteful number, since it uses less digits than its factorization.

78771498775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262432 (or 5262407 counting only the distinct ones).

The product of its (nonzero) digits is 387233280, while the sum is 72.

The spelling of 78771498775200 in words is "seventy-eight trillion, seven hundred seventy-one billion, four hundred ninety-eight million, seven hundred seventy-five thousand, two hundred".