77065951680 has 336 divisors, whose sum is σ = 284301407520. Its totient is φ = 19101229056.

The previous prime is 77065951667. The next prime is 77065951687. The reversal of 77065951680 is 8615956077.

77065951680 is a `hidden beast` number, since 7 + 70 + 6 + 59 + 516 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77065951687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2886874 + ... + 2913446.

Almost surely, 2^77065951680 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 77065951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142150703760).

77065951680 is an abundant number, since it is smaller than the sum of its proper divisors (207235455840).

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

77065951680 is a wasteful number, since it uses less digits than its factorization.

77065951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26668 (or 26655 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 77065951680 in words is "seventy-seven billion, sixty-five million, nine hundred fifty-one thousand, six hundred eighty".