77117106240 has 280 divisors, whose sum is σ = 283781159640. Its totient is φ = 19855245312.

The previous prime is 77117106173. The next prime is 77117106247. The reversal of 77117106240 is 4260171177.

77117106240 is a `hidden beast` number, since 7 + 7 + 1 + 17 + 10 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18556978176 + 58560128064 = 136224^2 + 241992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77117106195 and 77117106204.

It is not an unprimeable number, because it can be changed into a prime (77117106247) 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, 700384 + ... + 802976.

Almost surely, 2^77117106240 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 77117106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141890579820).

77117106240 is an abundant number, since it is smaller than the sum of its proper divisors (206664053400).

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

77117106240 is a wasteful number, since it uses less digits than its factorization.

77117106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102651 (or 102632 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 77117106240 in words is "seventy-seven billion, one hundred seventeen million, one hundred six thousand, two hundred forty".