77366128803840 has 1232 divisors, whose sum is σ = 288815510277000. Its totient is φ = 19862478913536.

The previous prime is 77366128803793. The next prime is 77366128803851. The reversal of 77366128803840 is 4830882166377.

77366128803840 is a `hidden beast` number, since 7 + 7 + 3 + 6 + 612 + 8 + 8 + 0 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69256482914304 + 8109645889536 = 8322048^2 + 2847744^2 .

It is a super-2 number, since 2×77366128803840² (a number of 29 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 221679451986 + ... + 221679452334.

Almost surely, 2^{77366128803840} 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 77366128803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144407755138500).

77366128803840 is an abundant number, since it is smaller than the sum of its proper divisors (211449381473160).

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

77366128803840 is an frugal number, since it uses more digits than its factorization.

77366128803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 77366128803840 in words is "seventy-seven trillion, three hundred sixty-six billion, one hundred twenty-eight million, eight hundred three thousand, eight hundred forty".