77061314880 has 672 divisors, whose sum is σ = 307345933440. Its totient is φ = 17542103040.

The previous prime is 77061314867. The next prime is 77061314899. The reversal of 77061314880 is 8841316077.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33991507 + ... + 33993773.

It is an arithmetic number, because the mean of its divisors is an integer number (457360020).

Almost surely, 2^77061314880 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 77061314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153672966720).

77061314880 is an abundant number, since it is smaller than the sum of its proper divisors (230284618560).

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

77061314880 is a wasteful number, since it uses less digits than its factorization.

77061314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 77061314880 in words is "seventy-seven billion, sixty-one million, three hundred fourteen thousand, eight hundred eighty".