78120 has 96 divisors (see below), whose sum is σ = 299520. Its totient is φ = 17280.

The previous prime is 78101. The next prime is 78121. The reversal of 78120 is 2187.

It is a super-2 number, since 2×78120² = 12205468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 78093 and 78102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78121) by changing a digit.

78120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505 + ... + 2535.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2⁷⁸¹²⁰ is an apocalyptic number.

78120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a pronic number, being equal to 279×280.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

78120 is an abundant number, since it is smaller than the sum of its proper divisors (221400).

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

78120 is a wasteful number, since it uses less digits than its factorization.

78120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 78120 is about 279.4995527725. The cubic root of 78120 is about 42.7484866603.

The spelling of 78120 in words is "seventy-eight thousand, one hundred twenty".