77866141408704 has 504 divisors, whose sum is σ = 256804602163200. Its totient is φ = 22512986496000.

The previous prime is 77866141408703. The next prime is 77866141408723. The reversal of 77866141408704 is 40780414166877.

It is a happy number.

77866141408704 is a `hidden beast` number, since 7 + 7 + 8 + 6 + 614 + 1 + 4 + 0 + 8 + 7 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77866141408703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153147097 + ... + 153654695.

It is an arithmetic number, because the mean of its divisors is an integer number (509532940800).

Almost surely, 2^{77866141408704} 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 77866141408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128402301081600).

77866141408704 is an abundant number, since it is smaller than the sum of its proper divisors (178938460754496).

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

77866141408704 is a wasteful number, since it uses less digits than its factorization.

77866141408704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507741 (or 507717 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 77866141408704 in words is "seventy-seven trillion, eight hundred sixty-six billion, one hundred forty-one million, four hundred eight thousand, seven hundred four".