78584160 has 96 divisors (see below), whose sum is σ = 252292320. Its totient is φ = 20553728.

The previous prime is 78584153. The next prime is 78584221. The reversal of 78584160 is 6148587.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 23896 + ... + 26984.

It is an arithmetic number, because the mean of its divisors is an integer number (2628045).

Almost surely, 2^78584160 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 78584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126146160).

78584160 is an abundant number, since it is smaller than the sum of its proper divisors (173708160).

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

78584160 is a wasteful number, since it uses less digits than its factorization.

78584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 78584160 is about 8864.7707246155. The cubic root of 78584160 is about 428.3298473408.

The spelling of 78584160 in words is "seventy-eight million, five hundred eighty-four thousand, one hundred sixty".