78131160 has 96 divisors (see below), whose sum is σ = 262154880. Its totient is φ = 20160000.

The previous prime is 78131149. The next prime is 78131171. The reversal of 78131160 is 6113187.

It is an interprime number because it is at equal distance from previous prime (78131149) and next prime (78131171).

It is a super-2 number, since 2×78131160² = 12208956325891200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7660 + ... + 14660.

It is an arithmetic number, because the mean of its divisors is an integer number (2730780).

Almost surely, 2^78131160 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 78131160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131077440).

78131160 is an abundant number, since it is smaller than the sum of its proper divisors (184023720).

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

78131160 is a wasteful number, since it uses less digits than its factorization.

78131160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 78131160 is about 8839.1832201850. The cubic root of 78131160 is about 427.5052220558.

The spelling of 78131160 in words is "seventy-eight million, one hundred thirty-one thousand, one hundred sixty".