7826656320 has 896 divisors, whose sum is σ = 34137600000. Its totient is φ = 1682601984.

The previous prime is 7826656307. The next prime is 7826656373. The reversal of 7826656320 is 236566287.

It is a happy number.

7826656320 is a `hidden beast` number, since 7 + 8 + 2 + 6 + 6 + 5 + 632 + 0 = 666.

It is a super-2 number, since 2×7826656320² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56306811 + ... + 56306949.

It is an arithmetic number, because the mean of its divisors is an integer number (38100000).

Almost surely, 2^7826656320 is an apocalyptic number.

7826656320 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 7826656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068800000).

7826656320 is an abundant number, since it is smaller than the sum of its proper divisors (26310943680).

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

7826656320 is a wasteful number, since it uses less digits than its factorization.

7826656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7826656320 is about 88468.3916435695. The cubic root of 7826656320 is about 1985.4490855148.

The spelling of 7826656320 in words is "seven billion, eight hundred twenty-six million, six hundred fifty-six thousand, three hundred twenty".