77710542336 has 960 divisors, whose sum is σ = 291088512000. Its totient is φ = 19444727808.

The previous prime is 77710542331. The next prime is 77710542367. The reversal of 77710542336 is 63324501777.

77710542336 is a `hidden beast` number, since 7 + 7 + 71 + 0 + 542 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77710542291 and 77710542300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77710542331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521547190 + ... + 521547338.

It is an arithmetic number, because the mean of its divisors is an integer number (303217200).

Almost surely, 2^77710542336 is an apocalyptic number.

77710542336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77710542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256000).

77710542336 is an abundant number, since it is smaller than the sum of its proper divisors (213377969664).

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

77710542336 is a wasteful number, since it uses less digits than its factorization.

77710542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 77710542336 in words is "seventy-seven billion, seven hundred ten million, five hundred forty-two thousand, three hundred thirty-six".