78330 has 32 divisors (see below), whose sum is σ = 215424. Its totient is φ = 17856.

The previous prime is 78317. The next prime is 78341. The reversal of 78330 is 3387.

It is a super-2 number, since 2×78330² = 12271177800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 78297 and 78306.

It is an unprimeable number.

78330 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 15 ways as a sum of consecutive naturals, for example, 24 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (6732).

2⁷⁸³³⁰ is an apocalyptic number.

78330 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712).

78330 is an abundant number, since it is smaller than the sum of its proper divisors (137094).

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

78330 is a wasteful number, since it uses less digits than its factorization.

78330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 78330 is about 279.8749720858. The cubic root of 78330 is about 42.7867574835.

The spelling of 78330 in words is "seventy-eight thousand, three hundred thirty".