78680 has 32 divisors (see below), whose sum is σ = 203040. Its totient is φ = 26880.

The previous prime is 78653. The next prime is 78691. The reversal of 78680 is 8687.

78680 = T₃₉ + T₄₀ + ... + T₈₀.

78680 = 103² + 104² + ... + 109².

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

78680 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 7 ways as a sum of consecutive naturals, for example, 140 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (6345).

2⁷⁸⁶⁸⁰ is an apocalyptic number.

78680 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 280×281.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101520).

78680 is an abundant number, since it is smaller than the sum of its proper divisors (124360).

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

78680 is a wasteful number, since it uses less digits than its factorization.

78680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 78680 is about 280.4995543668. The cubic root of 78680 is about 42.8503904706.

The spelling of 78680 in words is "seventy-eight thousand, six hundred eighty".