27800765832 has 192 divisors, whose sum is σ = 83141130240. Its totient is φ = 7720272000.

The previous prime is 27800765821. The next prime is 27800765833. The reversal of 27800765832 is 23856700872.

It is not an unprimeable number, because it can be changed into a prime (27800765833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8344407 + ... + 8347737.

It is an arithmetic number, because the mean of its divisors is an integer number (433026720).

Almost surely, 2^27800765832 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 27800765832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41570565120).

27800765832 is an abundant number, since it is smaller than the sum of its proper divisors (55340364408).

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

27800765832 is a wasteful number, since it uses less digits than its factorization.

27800765832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 27800765832 in words is "twenty-seven billion, eight hundred million, seven hundred sixty-five thousand, eight hundred thirty-two".