77427109760 has 512 divisors, whose sum is σ = 261646156800. Its totient is φ = 21100953600.

The previous prime is 77427109759. The next prime is 77427109787. The reversal of 77427109760 is 6790172477.

It is a junction number, because it is equal to n+sod(n) for n = 77427109699 and 77427109708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12168980 + ... + 12175340.

It is an arithmetic number, because the mean of its divisors is an integer number (511027650).

Almost surely, 2^77427109760 is an apocalyptic number.

77427109760 is a gapful number since it is divisible by the number (70) 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 77427109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130823078400).

77427109760 is an abundant number, since it is smaller than the sum of its proper divisors (184219047040).

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

77427109760 is a wasteful number, since it uses less digits than its factorization.

77427109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 50.

The spelling of 77427109760 in words is "seventy-seven billion, four hundred twenty-seven million, one hundred nine thousand, seven hundred sixty".