79868160 has 144 divisors (see below), whose sum is σ = 283543680. Its totient is φ = 21288960.

The previous prime is 79868143. The next prime is 79868171. The reversal of 79868160 is 6186897.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33405 + ... + 35715.

Almost surely, 2^79868160 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 79868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141771840).

79868160 is an abundant number, since it is smaller than the sum of its proper divisors (203675520).

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

79868160 is a wasteful number, since it uses less digits than its factorization.

79868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 79868160 is about 8936.8987909677. The cubic root of 79868160 is about 430.6501073017.

The spelling of 79868160 in words is "seventy-nine million, eight hundred sixty-eight thousand, one hundred sixty".