78980 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 28640.

The previous prime is 78979. The next prime is 78989. The reversal of 78980 is 8987.

It is not an unprimeable number, because it can be changed into a prime (78989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁷⁸⁹⁸⁰ 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 78980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

78980 is an abundant number, since it is smaller than the sum of its proper divisors (102460).

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

78980 is a wasteful number, since it uses less digits than its factorization.

78980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 78980 is about 281.0338057957. The cubic root of 78980 is about 42.9047830023.

The spelling of 78980 in words is "seventy-eight thousand, nine hundred eighty".