77493690516 has 192 divisors, whose sum is σ = 211916113920. Its totient is φ = 21801162240.

The previous prime is 77493690473. The next prime is 77493690557. The reversal of 77493690516 is 61509639477.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 76048255 + ... + 76049273.

It is an arithmetic number, because the mean of its divisors is an integer number (1103729760).

Almost surely, 2^77493690516 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 77493690516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105958056960).

77493690516 is an abundant number, since it is smaller than the sum of its proper divisors (134422423404).

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

77493690516 is a wasteful number, since it uses less digits than its factorization.

77493690516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The spelling of 77493690516 in words is "seventy-seven billion, four hundred ninety-three million, six hundred ninety thousand, five hundred sixteen".