8273754000 has 240 divisors, whose sum is σ = 29169494640. Its totient is φ = 2185574400.

The previous prime is 8273753951. The next prime is 8273754007. The reversal of 8273754000 is 4573728.

8273754000 is a `hidden beast` number, since 82 + 7 + 37 + 540 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 639887616 + 7633866384 = 25296^2 + 87372^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (8273754007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1959892 + ... + 1964108.

It is an arithmetic number, because the mean of its divisors is an integer number (121539561).

Almost surely, 2^8273754000 is an apocalyptic number.

8273754000 is a gapful number since it is divisible by the number (80) 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 8273754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584747320).

8273754000 is an abundant number, since it is smaller than the sum of its proper divisors (20895740640).

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

8273754000 is a wasteful number, since it uses less digits than its factorization.

8273754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 8273754000 is about 90960.1781000895. The cubic root of 8273754000 is about 2022.5574573823.

The spelling of 8273754000 in words is "eight billion, two hundred seventy-three million, seven hundred fifty-four thousand".