77919487488 has 320 divisors, whose sum is σ = 246176029440. Its totient is φ = 24249139200.

The previous prime is 77919487487. The next prime is 77919487501. The reversal of 77919487488 is 88478491977.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77919487487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30784783 + ... + 30787313.

It is an arithmetic number, because the mean of its divisors is an integer number (769300092).

Almost surely, 2^77919487488 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 77919487488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123088014720).

77919487488 is an abundant number, since it is smaller than the sum of its proper divisors (168256541952).

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

77919487488 is a wasteful number, since it uses less digits than its factorization.

77919487488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2684 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 72.

The spelling of 77919487488 in words is "seventy-seven billion, nine hundred nineteen million, four hundred eighty-seven thousand, four hundred eighty-eight".