77560120 has 64 divisors (see below), whose sum is σ = 201592800. Its totient is φ = 26542080.

The previous prime is 77560079. The next prime is 77560121. The reversal of 77560120 is 2106577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77560121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2296 + ... + 12664.

Almost surely, 2^77560120 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 77560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100796400).

77560120 is an abundant number, since it is smaller than the sum of its proper divisors (124032680).

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

77560120 is a wasteful number, since it uses less digits than its factorization.

77560120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 77560120 is about 8806.8223554242. The cubic root of 77560120 is about 426.4611667724.

Adding to 77560120 its reverse (2106577), we get a palindrome (79666697).

The spelling of 77560120 in words is "seventy-seven million, five hundred sixty thousand, one hundred twenty".