77420484288 has 672 divisors, whose sum is σ = 275592844800. Its totient is φ = 21083037696.

The previous prime is 77420484283. The next prime is 77420484307. The reversal of 77420484288 is 88248402477.

77420484288 is a `hidden beast` number, since 7 + 7 + 4 + 204 + 8 + 428 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77420484283) 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, 432516583 + ... + 432516761.

It is an arithmetic number, because the mean of its divisors is an integer number (410108400).

Almost surely, 2^77420484288 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 77420484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137796422400).

77420484288 is an abundant number, since it is smaller than the sum of its proper divisors (198172360512).

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

77420484288 is a wasteful number, since it uses less digits than its factorization.

77420484288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 77420484288 in words is "seventy-seven billion, four hundred twenty million, four hundred eighty-four thousand, two hundred eighty-eight".