7876834560 has 864 divisors, whose sum is σ = 33748565760. Its totient is φ = 1656225792.

The previous prime is 7876834531. The next prime is 7876834607. The reversal of 7876834560 is 654386787.

7876834560 is a `hidden beast` number, since 7 + 8 + 76 + 8 + 3 + 4 + 560 = 666.

It is a super-2 number, since 2×7876834560² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7876834497 and 7876834506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81204432 + ... + 81204528.

It is an arithmetic number, because the mean of its divisors is an integer number (39060840).

Almost surely, 2^7876834560 is an apocalyptic number.

7876834560 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 7876834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874282880).

7876834560 is an abundant number, since it is smaller than the sum of its proper divisors (25871731200).

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

7876834560 is a wasteful number, since it uses less digits than its factorization.

7876834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7876834560 is about 88751.5327191593. The cubic root of 7876834560 is about 1989.6830854807.

The spelling of 7876834560 in words is "seven billion, eight hundred seventy-six million, eight hundred thirty-four thousand, five hundred sixty".