7836341760 has 1120 divisors, whose sum is σ = 33812523360. Its totient is φ = 1719926784.

The previous prime is 7836341719. The next prime is 7836341783. The reversal of 7836341760 is 671436387.

7836341760 is a `hidden beast` number, since 7 + 8 + 3 + 634 + 1 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×7836341760² (a number of 21 digits) contains 22 as substring.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 412439031 + ... + 412439049.

It is an arithmetic number, because the mean of its divisors is an integer number (30189753).

Almost surely, 2^7836341760 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 7836341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906261680).

7836341760 is an abundant number, since it is smaller than the sum of its proper divisors (25976181600).

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

7836341760 is a wasteful number, since it uses less digits than its factorization.

7836341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7836341760 is about 88523.1142696641. The cubic root of 7836341760 is about 1986.2677416705.

The spelling of 7836341760 in words is "seven billion, eight hundred thirty-six million, three hundred forty-one thousand, seven hundred sixty".