77830600120 has 256 divisors, whose sum is σ = 227923476480. Its totient is φ = 23254732800.

The previous prime is 77830600109. The next prime is 77830600147. The reversal of 77830600120 is 2100603877.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4618029 + ... + 4634851.

It is an arithmetic number, because the mean of its divisors is an integer number (890326080).

Almost surely, 2^77830600120 is an apocalyptic number.

77830600120 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 77830600120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113961738240).

77830600120 is an abundant number, since it is smaller than the sum of its proper divisors (150092876360).

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

77830600120 is a wasteful number, since it uses less digits than its factorization.

77830600120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16926 (or 16922 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 77830600120 in words is "seventy-seven billion, eight hundred thirty million, six hundred thousand, one hundred twenty".