7865676720 has 640 divisors, whose sum is σ = 30865167360. Its totient is φ = 1847577600.

The previous prime is 7865676713. The next prime is 7865676727. The reversal of 7865676720 is 276765687.

7865676720 is a `hidden beast` number, since 7 + 8 + 6 + 567 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7865676713) and next prime (7865676727).

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

It is not an unprimeable number, because it can be changed into a prime (7865676727) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 117398127 + ... + 117398193.

It is an arithmetic number, because the mean of its divisors is an integer number (48226824).

Almost surely, 2^7865676720 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 7865676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432583680).

7865676720 is an abundant number, since it is smaller than the sum of its proper divisors (22999490640).

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

7865676720 is a wasteful number, since it uses less digits than its factorization.

7865676720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 7865676720 is about 88688.6504576544. The cubic root of 7865676720 is about 1988.7431539105.

The spelling of 7865676720 in words is "seven billion, eight hundred sixty-five million, six hundred seventy-six thousand, seven hundred twenty".