78446160 has 360 divisors, whose sum is σ = 311776920. Its totient is φ = 17547264.

The previous prime is 78446111. The next prime is 78446171. The reversal of 78446160 is 6164487.

It can be written as a sum of positive squares in 12 ways, for example, as 9290304 + 69155856 = 3048^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2705026 + ... + 2705054.

It is an arithmetic number, because the mean of its divisors is an integer number (866047).

Almost surely, 2^78446160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78446160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155888460).

78446160 is an abundant number, since it is smaller than the sum of its proper divisors (233330760).

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

78446160 is a wasteful number, since it uses less digits than its factorization.

78446160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78446160 is about 8856.9836852057. The cubic root of 78446160 is about 428.0789734028.

It can be divided in two parts, 78446 and 160, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 78446160 in words is "seventy-eight million, four hundred forty-six thousand, one hundred sixty".