77289695809920 has 768 divisors, whose sum is σ = 302998340736000. Its totient is φ = 17982396579840.

The previous prime is 77289695809853. The next prime is 77289695809927. The reversal of 77289695809920 is 2990859698277.

77289695809920 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 9 + 6 + 9 + 580 + 9 + 9 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 77289695809920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77289695809927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306726541 + ... + 306978419.

It is an arithmetic number, because the mean of its divisors is an integer number (394529089500).

Almost surely, 2^{77289695809920} 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 77289695809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151499170368000).

77289695809920 is an abundant number, since it is smaller than the sum of its proper divisors (225708644926080).

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

77289695809920 is a wasteful number, since it uses less digits than its factorization.

77289695809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252111 (or 252096 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 77289695809920 in words is "seventy-seven trillion, two hundred eighty-nine billion, six hundred ninety-five million, eight hundred nine thousand, nine hundred twenty".