126798400 has 168 divisors, whose sum is σ = 339526880. Its totient is φ = 46448640.

The previous prime is 126798391. The next prime is 126798407. The reversal of 126798400 is 4897621.

It is a self number, because there is not a number n which added to its sum of digits gives 126798400.

It is not an unprimeable number, because it can be changed into a prime (126798407) 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, 1307152 + ... + 1307248.

Almost surely, 2^126798400 is an apocalyptic number.

126798400 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 126798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169763440).

126798400 is an abundant number, since it is smaller than the sum of its proper divisors (212728480).

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

126798400 is a wasteful number, since it uses less digits than its factorization.

126798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 126798400 is about 11260.4795634999. The cubic root of 126798400 is about 502.3864581796.

The spelling of 126798400 in words is "one hundred twenty-six million, seven hundred ninety-eight thousand, four hundred".