7856926560 has 288 divisors, whose sum is σ = 31989777120. Its totient is φ = 1795820544.

The previous prime is 7856926549. The next prime is 7856926613. The reversal of 7856926560 is 656296587.

It is a happy number.

7856926560 is a `hidden beast` number, since 7 + 8 + 56 + 9 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 7856926497 and 7856926506.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 193122 + ... + 230238.

It is an arithmetic number, because the mean of its divisors is an integer number (111075615).

Almost surely, 2^7856926560 is an apocalyptic number.

7856926560 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 7856926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994888560).

7856926560 is an abundant number, since it is smaller than the sum of its proper divisors (24132850560).

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

7856926560 is a wasteful number, since it uses less digits than its factorization.

7856926560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37155 (or 37134 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 7856926560 is about 88639.3059539615. The cubic root of 7856926560 is about 1988.0054221898.

The spelling of 7856926560 in words is "seven billion, eight hundred fifty-six million, nine hundred twenty-six thousand, five hundred sixty".