8119761408 has 480 divisors, whose sum is σ = 28151323200. Its totient is φ = 2309160960.

The previous prime is 8119761389. The next prime is 8119761449. The reversal of 8119761408 is 8041679118.

It is a happy number.

It is a super-2 number, since 2×8119761408² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23265618 + ... + 23265966.

It is an arithmetic number, because the mean of its divisors is an integer number (58648590).

Almost surely, 2^8119761408 is an apocalyptic number.

8119761408 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 8119761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075661600).

8119761408 is an abundant number, since it is smaller than the sum of its proper divisors (20031561792).

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

8119761408 is a wasteful number, since it uses less digits than its factorization.

8119761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 8119761408 is about 90109.7187211235. The cubic root of 8119761408 is about 2009.9307260598.

The spelling of 8119761408 in words is "eight billion, one hundred nineteen million, seven hundred sixty-one thousand, four hundred eight".