78242160 has 160 divisors (see below), whose sum is σ = 260554752. Its totient is φ = 19353600.

The previous prime is 78242149. The next prime is 78242179. The reversal of 78242160 is 6124287.

It is a super-2 number, since 2×78242160² = 12243671202931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518085 + ... + 518235.

Almost surely, 2^78242160 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 78242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277376).

78242160 is an abundant number, since it is smaller than the sum of its proper divisors (182312592).

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

78242160 is a wasteful number, since it uses less digits than its factorization.

78242160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78242160 is about 8845.4598523762. The cubic root of 78242160 is about 427.7075767688.

The spelling of 78242160 in words is "seventy-eight million, two hundred forty-two thousand, one hundred sixty".