78095160 has 384 divisors, whose sum is σ = 313709760. Its totient is φ = 16588800.

The previous prime is 78095159. The next prime is 78095177. The reversal of 78095160 is 6159087.

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 95 ways as a sum of consecutive naturals, for example, 1904740 + ... + 1904780.

Almost surely, 2^78095160 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 78095160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

78095160 is an abundant number, since it is smaller than the sum of its proper divisors (235614600).

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

78095160 is a wasteful number, since it uses less digits than its factorization.

78095160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 78095160 is about 8837.1465983088. The cubic root of 78095160 is about 427.4395523438.

The spelling of 78095160 in words is "seventy-eight million, ninety-five thousand, one hundred sixty".