12770400 has 144 divisors (see below), whose sum is σ = 44153424. Its totient is φ = 3194880.

The previous prime is 12770399. The next prime is 12770423. The reversal of 12770400 is 407721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40644 + ... + 40956.

It is an arithmetic number, because the mean of its divisors is an integer number (306621).

Almost surely, 2^12770400 is an apocalyptic number.

12770400 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 12770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22076712).

12770400 is an abundant number, since it is smaller than the sum of its proper divisors (31383024).

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

12770400 is a wasteful number, since it uses less digits than its factorization.

12770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 12770400 is about 3573.5696439275. The cubic root of 12770400 is about 233.7409654586.

The spelling of 12770400 in words is "twelve million, seven hundred seventy thousand, four hundred".