77378516120 has 96 divisors (see below), whose sum is σ = 184188323520. Its totient is φ = 29251998720.

The previous prime is 77378516113. The next prime is 77378516141. The reversal of 77378516120 is 2161587377.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6217424 + ... + 6229856.

It is an arithmetic number, because the mean of its divisors is an integer number (1918628370).

Almost surely, 2^77378516120 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 77378516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92094161760).

77378516120 is an abundant number, since it is smaller than the sum of its proper divisors (106809807400).

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

77378516120 is a wasteful number, since it uses less digits than its factorization.

77378516120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12913 (or 12890 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 77378516120 in words is "seventy-seven billion, three hundred seventy-eight million, five hundred sixteen thousand, one hundred twenty".