12076800 has 216 divisors, whose sum is σ = 43340976. Its totient is φ = 2949120.

The previous prime is 12076793. The next prime is 12076807. The reversal of 12076800 is 867021.

It is an interprime number because it is at equal distance from previous prime (12076793) and next prime (12076807).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12076807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326382 + ... + 326418.

Almost surely, 2^12076800 is an apocalyptic number.

12076800 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 12076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670488).

12076800 is an abundant number, since it is smaller than the sum of its proper divisors (31264176).

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

12076800 is a wasteful number, since it uses less digits than its factorization.

12076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 12076800 is about 3475.1690606358. The cubic root of 12076800 is about 229.4302216654.

The spelling of 12076800 in words is "twelve million, seventy-six thousand, eight hundred".