77563420 has 36 divisors (see below), whose sum is σ = 179042472. Its totient is φ = 28204000.

The previous prime is 77563399. The next prime is 77563427. The reversal of 77563420 is 2436577.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77563427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13606 + ... + 18445.

It is an arithmetic number, because the mean of its divisors is an integer number (4973402).

Almost surely, 2^77563420 is an apocalyptic number.

It is an amenable number.

77563420 is an abundant number, since it is smaller than the sum of its proper divisors (101479052).

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

77563420 is a wasteful number, since it uses less digits than its factorization.

77563420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32082 (or 32069 counting only the distinct ones).

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

The square root of 77563420 is about 8807.0097081813. The cubic root of 77563420 is about 426.4672149919.

Adding to 77563420 its reverse (2436577), we get a palindrome (79999997).

The spelling of 77563420 in words is "seventy-seven million, five hundred sixty-three thousand, four hundred twenty".