125798400 has 576 divisors, whose sum is σ = 568713600. Its totient is φ = 26542080.

The previous prime is 125798389. The next prime is 125798401. The reversal of 125798400 is 4897521.

125798400 is a `hidden beast` number, since 1 + 2 + 579 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125798401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676794 + ... + 9676806.

It is an arithmetic number, because the mean of its divisors is an integer number (987350).

Almost surely, 2^125798400 is an apocalyptic number.

125798400 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 125798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

125798400 is an abundant number, since it is smaller than the sum of its proper divisors (442915200).

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

125798400 is a wasteful number, since it uses less digits than its factorization.

125798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125798400 is about 11215.9885877260. The cubic root of 125798400 is about 501.0622748792.

The spelling of 125798400 in words is "one hundred twenty-five million, seven hundred ninety-eight thousand, four hundred".