77806120 has 128 divisors (see below), whose sum is σ = 209952000. Its totient is φ = 25928448.

The previous prime is 77806117. The next prime is 77806129. The reversal of 77806120 is 2160877.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77806129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 727107 + ... + 727213.

It is an arithmetic number, because the mean of its divisors is an integer number (1640250).

Almost surely, 2^77806120 is an apocalyptic number.

77806120 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 77806120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104976000).

77806120 is an abundant number, since it is smaller than the sum of its proper divisors (132145880).

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

77806120 is a wasteful number, since it uses less digits than its factorization.

77806120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 77806120 is about 8820.7777434872. Note that the first 4 decimals coincide. The cubic root of 77806120 is about 426.9115645933.

Adding to 77806120 its reverse (2160877), we get a palindrome (79966997).

The spelling of 77806120 in words is "seventy-seven million, eight hundred six thousand, one hundred twenty".