78276 has 24 divisors (see below), whose sum is σ = 199584. Its totient is φ = 23680.

The previous prime is 78259. The next prime is 78277. The reversal of 78276 is 67287.

It is a super-2 number, since 2×78276² = 12254264352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78277) by changing a digit.

78276 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁷⁸²⁷⁶ is an apocalyptic number.

It is an amenable number.

78276 is an abundant number, since it is smaller than the sum of its proper divisors (121308).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792).

78276 is a wasteful number, since it uses less digits than its factorization.

78276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 78276 is about 279.7784838046. The cubic root of 78276 is about 42.7769229541.

It can be divided in two parts, 782 and 76, that added together give a palindrome (858).

The spelling of 78276 in words is "seventy-eight thousand, two hundred seventy-six".