77889726720 has 432 divisors, whose sum is σ = 291168429552. Its totient is φ = 19110297600.

The previous prime is 77889726709. The next prime is 77889726737. The reversal of 77889726720 is 2762798877.

It can be written as a sum of positive squares in 8 ways, for example, as 14216269824 + 63673456896 = 119232^2 + 252336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60053112 + ... + 60054408.

Almost surely, 2^77889726720 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 77889726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145584214776).

77889726720 is an abundant number, since it is smaller than the sum of its proper divisors (213278702832).

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

77889726720 is a wasteful number, since it uses less digits than its factorization.

77889726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

It can be divided in two parts, 77889 and 726720, that added together give a square (804609 = 897²).

The spelling of 77889726720 in words is "seventy-seven billion, eight hundred eighty-nine million, seven hundred twenty-six thousand, seven hundred twenty".