27680027780 has 24 divisors (see below), whose sum is σ = 58168124952. Its totient is φ = 11064379392.

The previous prime is 27680027777. The next prime is 27680027807. The reversal of 27680027780 is 8772008672.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16787348356 + 10892679424 = 129566^2 + 104368^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447197 + ... + 505316.

It is an arithmetic number, because the mean of its divisors is an integer number (2423671873).

Almost surely, 2^27680027780 is an apocalyptic number.

27680027780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27680027780 is an abundant number, since it is smaller than the sum of its proper divisors (30488097172).

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

27680027780 is a wasteful number, since it uses less digits than its factorization.

27680027780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953975 (or 953973 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The spelling of 27680027780 in words is "twenty-seven billion, six hundred eighty million, twenty-seven thousand, seven hundred eighty".