12077760 has 112 divisors (see below), whose sum is σ = 40087296. Its totient is φ = 3075072.

The previous prime is 12077759. The next prime is 12077773. The reversal of 12077760 is 6777021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21807 + ... + 22353.

Almost surely, 2^12077760 is an apocalyptic number.

12077760 is a gapful number since it is divisible by the number (10) 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 12077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043648).

12077760 is an abundant number, since it is smaller than the sum of its proper divisors (28009536).

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

12077760 is a wasteful number, since it uses less digits than its factorization.

12077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 12077760 is about 3475.3071806676. The cubic root of 12077760 is about 229.4363007365.

The spelling of 12077760 in words is "twelve million, seventy-seven thousand, seven hundred sixty".