7875307440 has 960 divisors, whose sum is σ = 36397670400. Its totient is φ = 1503774720.

The previous prime is 7875307417. The next prime is 7875307459. The reversal of 7875307440 is 447035787.

7875307440 is a `hidden beast` number, since 7 + 8 + 7 + 530 + 74 + 40 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35315169 + ... + 35315391.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^7875307440 is an apocalyptic number.

7875307440 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 7875307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18198835200).

7875307440 is an abundant number, since it is smaller than the sum of its proper divisors (28522362960).

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

7875307440 is a wasteful number, since it uses less digits than its factorization.

7875307440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 7875307440 is about 88742.9289577485. The cubic root of 7875307440 is about 1989.5544940102.

The spelling of 7875307440 in words is "seven billion, eight hundred seventy-five million, three hundred seven thousand, four hundred forty".