76420 has 12 divisors (see below), whose sum is σ = 160524. Its totient is φ = 30560.

The previous prime is 76403. The next prime is 76421. The reversal of 76420 is 2467.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 26244 = 224^2 + 162^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (76421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1891 + ... + 1930.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2⁷⁶⁴²⁰ is an apocalyptic number.

It is an amenable number.

76420 is an abundant number, since it is smaller than the sum of its proper divisors (84104).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80262).

76420 is a wasteful number, since it uses less digits than its factorization.

76420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 76420 is about 276.4416755846. The cubic root of 76420 is about 42.4361208750.

Adding to 76420 its reverse (2467), we get a palindrome (78887).

It can be divided in two parts, 764 and 20, that added together give a square (784 = 28²).

The spelling of 76420 in words is "seventy-six thousand, four hundred twenty".