1025830800 has 180 divisors, whose sum is σ = 3605979520. Its totient is φ = 270017280.

The previous prime is 1025830787. The next prime is 1025830807. The reversal of 1025830800 is 80385201.

It is a happy number.

1025830800 is a `hidden beast` number, since 1 + 0 + 2 + 583 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (1025830807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282597 + ... + 286203.

Almost surely, 2^1025830800 is an apocalyptic number.

1025830800 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 1025830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802989760).

1025830800 is an abundant number, since it is smaller than the sum of its proper divisors (2580148720).

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

1025830800 is a wasteful number, since it uses less digits than its factorization.

1025830800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1025830800 is about 32028.5934752059. The cubic root of 1025830800 is about 1008.5371758885.

The spelling of 1025830800 in words is "one billion, twenty-five million, eight hundred thirty thousand, eight hundred".