77766313680 has 320 divisors, whose sum is σ = 309403411200. Its totient is φ = 17743380480.

The previous prime is 77766313649. The next prime is 77766313759. The reversal of 77766313680 is 8631366777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307656 + ... + 500184.

It is an arithmetic number, because the mean of its divisors is an integer number (966885660).

Almost surely, 2^77766313680 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 77766313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154701705600).

77766313680 is an abundant number, since it is smaller than the sum of its proper divisors (231637097520).

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

77766313680 is a wasteful number, since it uses less digits than its factorization.

77766313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192579 (or 192567 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 77766313680 in words is "seventy-seven billion, seven hundred sixty-six million, three hundred thirteen thousand, six hundred eighty".