87779964817776 has 960 divisors, whose sum is σ = 313666599052800. Its totient is φ = 20834731008000.

The previous prime is 87779964817759. The next prime is 87779964817813. The reversal of 87779964817776 is 67771846997778.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87779964817776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18546366706 + ... + 18546371438.

It is an arithmetic number, because the mean of its divisors is an integer number (326736040680).

Almost surely, 2^{87779964817776} 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 87779964817776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156833299526400).

87779964817776 is an abundant number, since it is smaller than the sum of its proper divisors (225886634235024).

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

87779964817776 is a wasteful number, since it uses less digits than its factorization.

87779964817776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6105 counting only the distinct ones).

The product of its digits is 87824507904, while the sum is 93.

The spelling of 87779964817776 in words is "eighty-seven trillion, seven hundred seventy-nine billion, nine hundred sixty-four million, eight hundred seventeen thousand, seven hundred seventy-six".