77536420 has 48 divisors (see below), whose sum is σ = 178008768. Its totient is φ = 28195200.

The previous prime is 77536409. The next prime is 77536441. The reversal of 77536420 is 2463577.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15195 + ... + 19645.

It is an arithmetic number, because the mean of its divisors is an integer number (3708516).

Almost surely, 2^77536420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77536420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89004384).

77536420 is an abundant number, since it is smaller than the sum of its proper divisors (100472348).

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

77536420 is a wasteful number, since it uses less digits than its factorization.

77536420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 77536420 is about 8805.4767048695. The cubic root of 77536420 is about 426.4177245183.

Adding to 77536420 its reverse (2463577), we get a palindrome (79999997).

The spelling of 77536420 in words is "seventy-seven million, five hundred thirty-six thousand, four hundred twenty".