76820935581720 has 640 divisors, whose sum is σ = 306726136992000. Its totient is φ = 17034699064320.

The previous prime is 76820935581713. The next prime is 76820935581791. The reversal of 76820935581720 is 2718553902867.

76820935581720 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 0 + 9 + 3 + 558 + 1 + 72 + 0 = 666.

It is a super-2 number, since 2×76820935581720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 17681679 + ... + 21593601.

It is an arithmetic number, because the mean of its divisors is an integer number (479259589050).

Almost surely, 2^{76820935581720} 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 76820935581720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153363068496000).

76820935581720 is an abundant number, since it is smaller than the sum of its proper divisors (229905201410280).

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

76820935581720 is a wasteful number, since it uses less digits than its factorization.

76820935581720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912005 (or 3911992 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 76820935581720 in words is "seventy-six trillion, eight hundred twenty billion, nine hundred thirty-five million, five hundred eighty-one thousand, seven hundred twenty".