77430 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 19712.

The previous prime is 77419. The next prime is 77431. The reversal of 77430 is 3477.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 77397 and 77406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77431) by changing a digit.

77430 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, 826 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁷⁷⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

77430 is an abundant number, since it is smaller than the sum of its proper divisors (116970).

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

77430 is a wasteful number, since it uses less digits than its factorization.

77430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 77430 is about 278.2624660280. The cubic root of 77430 is about 42.6222546771.

It can be divided in two parts, 774 and 30, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 77430 in words is "seventy-seven thousand, four hundred thirty".