78056160 has 192 divisors, whose sum is σ = 302787072. Its totient is φ = 16459776.

The previous prime is 78056159. The next prime is 78056177. The reversal of 78056160 is 6165087.

It is a super-3 number, since 3×78056160³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42787 + ... + 44573.

It is an arithmetic number, because the mean of its divisors is an integer number (1577016).

Almost surely, 2^78056160 is an apocalyptic number.

78056160 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 78056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151393536).

78056160 is an abundant number, since it is smaller than the sum of its proper divisors (224730912).

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

78056160 is a wasteful number, since it uses less digits than its factorization.

78056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 78056160 is about 8834.9397281476. The cubic root of 78056160 is about 427.3683873775.

The spelling of 78056160 in words is "seventy-eight million, fifty-six thousand, one hundred sixty".