77788060416 has 216 divisors, whose sum is σ = 247102062480. Its totient is φ = 23337984000.

The previous prime is 77788060411. The next prime is 77788060429. The reversal of 77788060416 is 61406088777.

It is a super-3 number, since 3×77788060416³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (77788060411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2544550 + ... + 2574938.

It is an arithmetic number, because the mean of its divisors is an integer number (1143991030).

Almost surely, 2^77788060416 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 77788060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123551031240).

77788060416 is an abundant number, since it is smaller than the sum of its proper divisors (169314002064).

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

77788060416 is a wasteful number, since it uses less digits than its factorization.

77788060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30523 (or 30506 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 77788060416 in words is "seventy-seven billion, seven hundred eighty-eight million, sixty thousand, four hundred sixteen".