7977126240 has 480 divisors, whose sum is σ = 30132194400. Its totient is φ = 1988665344.

The previous prime is 7977126239. The next prime is 7977126247. The reversal of 7977126240 is 426217797.

7977126240 is a `hidden beast` number, since 7 + 9 + 7 + 7 + 12 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7977126247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53537686 + ... + 53537834.

It is an arithmetic number, because the mean of its divisors is an integer number (62775405).

Almost surely, 2^7977126240 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 7977126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066097200).

7977126240 is an abundant number, since it is smaller than the sum of its proper divisors (22155068160).

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

7977126240 is an equidigital number, since it uses as much as digits as its factorization.

7977126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7977126240 is about 89314.7593626048. The cubic root of 7977126240 is about 1998.0920337445.

The spelling of 7977126240 in words is "seven billion, nine hundred seventy-seven million, one hundred twenty-six thousand, two hundred forty".