78260 has 48 divisors (see below), whose sum is σ = 206976. Its totient is φ = 24192.

The previous prime is 78259. The next prime is 78277. The reversal of 78260 is 6287.

It is a super-2 number, since 2×78260² = 12249255200, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78260.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1799 + ... + 1841.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

2⁷⁸²⁶⁰ is an apocalyptic number.

78260 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488).

78260 is an abundant number, since it is smaller than the sum of its proper divisors (128716).

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

78260 is a wasteful number, since it uses less digits than its factorization.

78260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 78260 is about 279.7498882931. The cubic root of 78260 is about 42.7740081509.

The spelling of 78260 in words is "seventy-eight thousand, two hundred sixty".