77112657120 has 96 divisors (see below), whose sum is σ = 246887010720. Its totient is φ = 20226263040.

The previous prime is 77112657109. The next prime is 77112657121. The reversal of 77112657120 is 2175621177.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77112657121) 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, 1287535 + ... + 1346094.

It is an arithmetic number, because the mean of its divisors is an integer number (2571739695).

Almost surely, 2^77112657120 is an apocalyptic number.

It is an amenable number.

77112657120 is an abundant number, since it is smaller than the sum of its proper divisors (169774353600).

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

77112657120 is a wasteful number, since it uses less digits than its factorization.

77112657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633708 (or 2633700 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 77112657120 in words is "seventy-seven billion, one hundred twelve million, six hundred fifty-seven thousand, one hundred twenty".