78218300160 has 3456 divisors, whose sum is σ = 422784230400. Its totient is φ = 13377208320.

The previous prime is 78218300131. The next prime is 78218300201. The reversal of 78218300160 is 6100381287.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×78218300160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4116752631 + ... + 4116752649.

It is an arithmetic number, because the mean of its divisors is an integer number (122333400).

Almost surely, 2^78218300160 is an apocalyptic number.

78218300160 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 78218300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392115200).

78218300160 is an abundant number, since it is smaller than the sum of its proper divisors (344565930240).

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

78218300160 is a wasteful number, since it uses less digits than its factorization.

78218300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 78218300160 in words is "seventy-eight billion, two hundred eighteen million, three hundred thousand, one hundred sixty".