8007376608 has 384 divisors, whose sum is σ = 29913891840. Its totient is φ = 2023004160.

The previous prime is 8007376603. The next prime is 8007376613. The reversal of 8007376608 is 8066737008.

8007376608 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 37 + 6 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (8007376603) and next prime (8007376613).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007376603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2459910 + ... + 2463162.

It is an arithmetic number, because the mean of its divisors is an integer number (77900760).

Almost surely, 2^8007376608 is an apocalyptic number.

8007376608 is a gapful number since it is divisible by the number (88) 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 8007376608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956945920).

8007376608 is an abundant number, since it is smaller than the sum of its proper divisors (21906515232).

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

8007376608 is a wasteful number, since it uses less digits than its factorization.

8007376608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8007376608 is about 89483.9460909050. The cubic root of 8007376608 is about 2000.6145284914.

The spelling of 8007376608 in words is "eight billion, seven million, three hundred seventy-six thousand, six hundred eight".