78654938136320 has 576 divisors, whose sum is σ = 239980240926720. Its totient is φ = 24024239898624.

The previous prime is 78654938136301. The next prime is 78654938136323. The reversal of 78654938136320 is 2363183945687.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78654938136323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12238200947 + ... + 12238207373.

It is an arithmetic number, because the mean of its divisors is an integer number (416632362720).

It is a 2-persistent number, because it is pandigital, and so is 2⋅78654938136320 = 157309876272640, but 3⋅78654938136320 = 235964814408960 is not.

Almost surely, 2^{78654938136320} is an apocalyptic number.

78654938136320 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 78654938136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119990120463360).

78654938136320 is an abundant number, since it is smaller than the sum of its proper divisors (161325302790400).

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

78654938136320 is a wasteful number, since it uses less digits than its factorization.

78654938136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 65.

The spelling of 78654938136320 in words is "seventy-eight trillion, six hundred fifty-four billion, nine hundred thirty-eight million, one hundred thirty-six thousand, three hundred twenty".