77110420 has 24 divisors (see below), whose sum is σ = 167517000. Its totient is φ = 29780352.

The previous prime is 77110387. The next prime is 77110433. The reversal of 77110420 is 2401177.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 65577604 = 3396^2 + 8098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77110391 and 77110400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65895 + ... + 67054.

It is an arithmetic number, because the mean of its divisors is an integer number (6979875).

Almost surely, 2^77110420 is an apocalyptic number.

It is an amenable number.

77110420 is an abundant number, since it is smaller than the sum of its proper divisors (90406580).

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

77110420 is a wasteful number, since it uses less digits than its factorization.

77110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132987 (or 132985 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 77110420 is about 8781.2538967963. The cubic root of 77110420 is about 425.6353496017.

Adding to 77110420 its reverse (2401177), we get a palindrome (79511597).

The spelling of 77110420 in words is "seventy-seven million, one hundred ten thousand, four hundred twenty".