78127160 has 64 divisors (see below), whose sum is σ = 185846400. Its totient is φ = 29510656.

The previous prime is 78127117. The next prime is 78127163. The reversal of 78127160 is 6172187.

It is a super-2 number, since 2×78127160² = 12207706259331200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78127163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53804 + ... + 55236.

It is an arithmetic number, because the mean of its divisors is an integer number (2903850).

Almost surely, 2^78127160 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 78127160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92923200).

78127160 is an abundant number, since it is smaller than the sum of its proper divisors (107719240).

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

78127160 is a wasteful number, since it uses less digits than its factorization.

78127160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 78127160 is about 8838.9569520391. The cubic root of 78127160 is about 427.4979264174.

It can be divided in two parts, 78127 and 160, that added together give a palindrome (78287).

The spelling of 78127160 in words is "seventy-eight million, one hundred twenty-seven thousand, one hundred sixty".