12457800 has 120 divisors (see below), whose sum is σ = 43324050. Its totient is φ = 3317760.

The previous prime is 12457799. The next prime is 12457813. The reversal of 12457800 is 875421.

12457800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8608356 + 3849444 = 2934^2 + 1962^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15816 + ... + 16584.

Almost surely, 2^12457800 is an apocalyptic number.

12457800 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 12457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21662025).

12457800 is an abundant number, since it is smaller than the sum of its proper divisors (30866250).

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

12457800 is a wasteful number, since it uses less digits than its factorization.

12457800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12457800 is about 3529.5608792030. The cubic root of 12457800 is about 231.8179804968.

It can be divided in two parts, 1245 and 7800, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 12457800 in words is "twelve million, four hundred fifty-seven thousand, eight hundred".