1075825800 has 480 divisors, whose sum is σ = 4375166400. Its totient is φ = 239915520.

The previous prime is 1075825787. The next prime is 1075825819. The reversal of 1075825800 is 85285701.

1075825800 is a `hidden beast` number, since 1 + 0 + 75 + 8 + 2 + 580 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6010111 + ... + 6010289.

It is an arithmetic number, because the mean of its divisors is an integer number (9114930).

Almost surely, 2^1075825800 is an apocalyptic number.

1075825800 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 1075825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187583200).

1075825800 is an abundant number, since it is smaller than the sum of its proper divisors (3299340600).

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

1075825800 is a wasteful number, since it uses less digits than its factorization.

1075825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 1075825800 is about 32799.7835358711. The cubic root of 1075825800 is about 1024.6620499995.

The spelling of 1075825800 in words is "one billion, seventy-five million, eight hundred twenty-five thousand, eight hundred".