78407 has 8 divisors (see below), whose sum is σ = 93696. Its totient is φ = 64152.

The previous prime is 78401. The next prime is 78427. The reversal of 78407 is 70487.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 78407 - 2¹⁰ = 77383 is a prime.

It is a super-2 number, since 2×78407² = 12295315298, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78401) 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, 83 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (11712).

2⁷⁸⁴⁰⁷ is an apocalyptic number.

78407 is a deficient number, since it is larger than the sum of its proper divisors (15289).

78407 is a wasteful number, since it uses less digits than its factorization.

78407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 78407 is about 280.0124997210. The cubic root of 78407 is about 42.8007729793.

The spelling of 78407 in words is "seventy-eight thousand, four hundred seven".