77420 has 36 divisors (see below), whose sum is σ = 191520. Its totient is φ = 26208.

The previous prime is 77419. The next prime is 77431. The reversal of 77420 is 2477.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 77392 and 77401.

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 77420.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 941 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁷⁷⁴²⁰ is an apocalyptic number.

77420 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 77420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

77420 is an abundant number, since it is smaller than the sum of its proper divisors (114100).

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

77420 is a wasteful number, since it uses less digits than its factorization.

77420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 77420 is about 278.2444968009. The cubic root of 77420 is about 42.6204197255.

Subtracting from 77420 its product of nonzero digits (392), we obtain a triangular number (77028 = T₃₉₂).

Adding to 77420 its reverse (2477), we get a palindrome (79897).

The spelling of 77420 in words is "seventy-seven thousand, four hundred twenty", and thus it is an iban number.