77036864352 has 384 divisors, whose sum is σ = 258774082560. Its totient is φ = 19534970880.

The previous prime is 77036864323. The next prime is 77036864353. The reversal of 77036864352 is 25346863077.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 77036864295 and 77036864304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77036864353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55782702 + ... + 55784082.

It is an arithmetic number, because the mean of its divisors is an integer number (673890840).

Almost surely, 2^77036864352 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 77036864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129387041280).

77036864352 is an abundant number, since it is smaller than the sum of its proper divisors (181737218208).

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

77036864352 is a wasteful number, since it uses less digits than its factorization.

77036864352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 77036864352 in words is "seventy-seven billion, thirty-six million, eight hundred sixty-four thousand, three hundred fifty-two".