126796800 has 264 divisors, whose sum is σ = 454859776. Its totient is φ = 30965760.

The previous prime is 126796793. The next prime is 126796801. The reversal of 126796800 is 8697621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (126796801) 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, 998337 + ... + 998463.

Almost surely, 2^126796800 is an apocalyptic number.

126796800 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 126796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227429888).

126796800 is an abundant number, since it is smaller than the sum of its proper divisors (328062976).

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

126796800 is a wasteful number, since it uses less digits than its factorization.

126796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 126796800 is about 11260.4085183443. The cubic root of 126796800 is about 502.3843450570.

The spelling of 126796800 in words is "one hundred twenty-six million, seven hundred ninety-six thousand, eight hundred".