78565180538880 has 2304 divisors, whose sum is σ = 330988361520960. Its totient is φ = 17529493782528.

The previous prime is 78565180538869. The next prime is 78565180538891. The reversal of 78565180538880 is 8883508156587.

It is a happy number.

78565180538880 is a `hidden beast` number, since 7 + 8 + 5 + 6 + 5 + 1 + 8 + 0 + 538 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (78565180538869) and next prime (78565180538891).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 78565180538799 and 78565180538808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398808022942 + ... + 398808023138.

Almost surely, 2^{78565180538880} is an apocalyptic number.

78565180538880 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 78565180538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165494180760480).

78565180538880 is an abundant number, since it is smaller than the sum of its proper divisors (252423180982080).

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

78565180538880 is an frugal number, since it uses more digits than its factorization.

78565180538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 72.

The spelling of 78565180538880 in words is "seventy-eight trillion, five hundred sixty-five billion, one hundred eighty million, five hundred thirty-eight thousand, eight hundred eighty".