78616980 has 120 divisors (see below), whose sum is σ = 265666632. Its totient is φ = 19346688.

The previous prime is 78616973. The next prime is 78616981. The reversal of 78616980 is 8961687.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 76842756 = 1332^2 + 8766^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78616981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19194 + ... + 22926.

Almost surely, 2^78616980 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 78616980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132833316).

78616980 is an abundant number, since it is smaller than the sum of its proper divisors (187049652).

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

78616980 is a wasteful number, since it uses less digits than its factorization.

78616980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 78616980 is about 8866.6216790839. The cubic root of 78616980 is about 428.3894684698.

It can be divided in two parts, 7861 and 6980, that added together give a palindrome (14841).

The spelling of 78616980 in words is "seventy-eight million, six hundred sixteen thousand, nine hundred eighty".