76827327360 has 384 divisors, whose sum is σ = 285888333600. Its totient is φ = 17497718784.

The previous prime is 76827327341. The next prime is 76827327407. The reversal of 76827327360 is 6372372867.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29445736 + ... + 29448344.

Almost surely, 2^76827327360 is an apocalyptic number.

76827327360 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 76827327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142944166800).

76827327360 is an abundant number, since it is smaller than the sum of its proper divisors (209061006240).

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

76827327360 is a wasteful number, since it uses less digits than its factorization.

76827327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 76827327360 in words is "seventy-six billion, eight hundred twenty-seven million, three hundred twenty-seven thousand, three hundred sixty".