78364160 has 80 divisors (see below), whose sum is σ = 214780896. Its totient is φ = 26861568.

The previous prime is 78364141. The next prime is 78364171. The reversal of 78364160 is 6146387.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78364160² = 12281883145011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 78364160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15734 + ... + 20106.

Almost surely, 2^78364160 is an apocalyptic number.

78364160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107390448).

78364160 is an abundant number, since it is smaller than the sum of its proper divisors (136416736).

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

78364160 is an equidigital number, since it uses as much as digits as its factorization.

78364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 78364160 is about 8852.3533594180. The cubic root of 78364160 is about 427.9297640010.

The spelling of 78364160 in words is "seventy-eight million, three hundred sixty-four thousand, one hundred sixty".