12762400 has 144 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 4193280.

The previous prime is 12762391. The next prime is 12762419. The reversal of 12762400 is 426721.

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, 240774 + ... + 240826.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^12762400 is an apocalyptic number.

12762400 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 12762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

12762400 is an abundant number, since it is smaller than the sum of its proper divisors (24360224).

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

12762400 is a wasteful number, since it uses less digits than its factorization.

12762400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12762400 is about 3572.4501396101. The cubic root of 12762400 is about 233.6921463579.

The spelling of 12762400 in words is "twelve million, seven hundred sixty-two thousand, four hundred".