78365276478720 has 2880 divisors, whose sum is σ = 360367609029120. Its totient is φ = 15789352550400.

The previous prime is 78365276478683. The next prime is 78365276478761. The reversal of 78365276478720 is 2787467256387.

78365276478720 is a `hidden beast` number, since 7 + 8 + 3 + 6 + 527 + 6 + 4 + 78 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×78365276478720² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 37657508080 + ... + 37657510160.

It is an arithmetic number, because the mean of its divisors is an integer number (125127642024).

Almost surely, 2^{78365276478720} is an apocalyptic number.

78365276478720 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 78365276478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180183804514560).

78365276478720 is an abundant number, since it is smaller than the sum of its proper divisors (282002332550400).

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

78365276478720 is a wasteful number, since it uses less digits than its factorization.

78365276478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 1327656960, while the sum is 72.

The spelling of 78365276478720 in words is "seventy-eight trillion, three hundred sixty-five billion, two hundred seventy-six million, four hundred seventy-eight thousand, seven hundred twenty".