77112640000 has 400 divisors, whose sum is σ = 221280792480. Its totient is φ = 26542080000.

The previous prime is 77112639997. The next prime is 77112640001. The reversal of 77112640000 is 4621177.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (77112640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66879424 + ... + 66880576.

Almost surely, 2^77112640000 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 77112640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110640396240).

77112640000 is an abundant number, since it is smaller than the sum of its proper divisors (144168152480).

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

77112640000 is a wasteful number, since it uses less digits than its factorization.

77112640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 77112640000 in words is "seventy-seven billion, one hundred twelve million, six hundred forty thousand".