27770750820 has 144 divisors (see below), whose sum is σ = 85198713600. Its totient is φ = 7321321728.

The previous prime is 27770750729. The next prime is 27770750849. The reversal of 27770750820 is 2805707772.

It is a happy number.

27770750820 is a `hidden beast` number, since 2 + 77 + 70 + 7 + 508 + 2 + 0 = 666.

It is a super-2 number, since 2×27770750820² (a number of 22 digits) contains 22 as substring.

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

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, 17927406 + ... + 17928954.

Almost surely, 2^27770750820 is an apocalyptic number.

27770750820 is a gapful number since it is divisible by the number (20) 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 27770750820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42599356800).

27770750820 is an abundant number, since it is smaller than the sum of its proper divisors (57427962780).

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

27770750820 is a wasteful number, since it uses less digits than its factorization.

27770750820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 27770750820 in words is "twenty-seven billion, seven hundred seventy million, seven hundred fifty thousand, eight hundred twenty".