78320 has 40 divisors (see below), whose sum is σ = 200880. Its totient is φ = 28160.

The previous prime is 78317. The next prime is 78341. The reversal of 78320 is 2387.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×78320² = 12268044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 78292 and 78301.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78320.

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, 836 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁷⁸³²⁰ 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 78320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

78320 is an abundant number, since it is smaller than the sum of its proper divisors (122560).

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

78320 is a wasteful number, since it uses less digits than its factorization.

78320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 78320 is about 279.8571063954. The cubic root of 78320 is about 42.7849366154.

78320 divided by its sum of digits (20) gives a triangular number (3916 = T₈₈).

The spelling of 78320 in words is "seventy-eight thousand, three hundred twenty".