78780 has 48 divisors (see below), whose sum is σ = 239904. Its totient is φ = 19200.

The previous prime is 78779. The next prime is 78781. The reversal of 78780 is 8787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78779) and next prime (78781).

It is a Harshad number since it is a multiple of its sum of digits (30).

78780 is a Rhonda number in base 8.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (4998).

2⁷⁸⁷⁸⁰ 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 78780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952).

78780 is an abundant number, since it is smaller than the sum of its proper divisors (161124).

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

78780 is a wasteful number, since it uses less digits than its factorization.

78780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 78780 is about 280.6777511667. The cubic root of 78780 is about 42.8685366532.

It can be divided in two parts, 78 and 780, that added together give a palindrome (858).

The spelling of 78780 in words is "seventy-eight thousand, seven hundred eighty".