7957848240 has 800 divisors, whose sum is σ = 31501198080. Its totient is φ = 1851752448.

The previous prime is 7957848221. The next prime is 7957848247. The reversal of 7957848240 is 428487597.

It is a happy number.

7957848240 is a `hidden beast` number, since 7 + 9 + 578 + 48 + 24 + 0 = 666.

It is a super-2 number, since 2×7957848240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7957848247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 150148054 + ... + 150148106.

Almost surely, 2^7957848240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7957848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750599040).

7957848240 is an abundant number, since it is smaller than the sum of its proper divisors (23543349840).

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

7957848240 is a wasteful number, since it uses less digits than its factorization.

7957848240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 7957848240 is about 89206.7723886477. The cubic root of 7957848240 is about 1996.4811658674.

The spelling of 7957848240 in words is "seven billion, nine hundred fifty-seven million, eight hundred forty-eight thousand, two hundred forty".