7530883920 has 240 divisors, whose sum is σ = 28955646720. Its totient is φ = 1718286336.

The previous prime is 7530883901. The next prime is 7530883949. The reversal of 7530883920 is 293880357.

7530883920 is a `hidden beast` number, since 7 + 530 + 88 + 39 + 2 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4076437 + ... + 4078283.

It is an arithmetic number, because the mean of its divisors is an integer number (120648528).

Almost surely, 2^7530883920 is an apocalyptic number.

7530883920 is a gapful number since it is divisible by the number (70) 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 7530883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

7530883920 is an abundant number, since it is smaller than the sum of its proper divisors (21424762800).

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

7530883920 is a wasteful number, since it uses less digits than its factorization.

7530883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7530883920 is about 86780.6655885976. The cubic root of 7530883920 is about 1960.1169512334.

The spelling of 7530883920 in words is "seven billion, five hundred thirty million, eight hundred eighty-three thousand, nine hundred twenty".