127234800 has 720 divisors, whose sum is σ = 604461312. Its totient is φ = 24883200.

The previous prime is 127234787. The next prime is 127234801. The reversal of 127234800 is 8432721.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127234801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7484392 + ... + 7484408.

Almost surely, 2^127234800 is an apocalyptic number.

127234800 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 127234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302230656).

127234800 is an abundant number, since it is smaller than the sum of its proper divisors (477226512).

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

127234800 is a wasteful number, since it uses less digits than its factorization.

127234800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 127234800 is about 11279.8404244032. The cubic root of 127234800 is about 502.9621500134.

The spelling of 127234800 in words is "one hundred twenty-seven million, two hundred thirty-four thousand, eight hundred".