7836676960 has 192 divisors, whose sum is σ = 22483681920. Its totient is φ = 2523709440.

The previous prime is 7836676933. The next prime is 7836676979. The reversal of 7836676960 is 696766387.

It is a super-2 number, since 2×7836676960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 7836676895 and 7836676904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198500 + ... + 1205020.

It is an arithmetic number, because the mean of its divisors is an integer number (117102510).

Almost surely, 2^7836676960 is an apocalyptic number.

7836676960 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 7836676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241840960).

7836676960 is an abundant number, since it is smaller than the sum of its proper divisors (14647004960).

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

7836676960 is a wasteful number, since it uses less digits than its factorization.

7836676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The square root of 7836676960 is about 88525.0075402425. The cubic root of 7836676960 is about 1986.2960621750.

The spelling of 7836676960 in words is "seven billion, eight hundred thirty-six million, six hundred seventy-six thousand, nine hundred sixty".