8077569408 has 192 divisors, whose sum is σ = 25066969200. Its totient is φ = 2488320000.

The previous prime is 8077569371. The next prime is 8077569473. The reversal of 8077569408 is 8049657708.

8077569408 is a `hidden beast` number, since 8 + 0 + 77 + 569 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 892908 + ... + 901908.

Almost surely, 2^8077569408 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 8077569408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533484600).

8077569408 is an abundant number, since it is smaller than the sum of its proper divisors (16989399792).

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

8077569408 is a wasteful number, since it uses less digits than its factorization.

8077569408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9081 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8077569408 is about 89875.2992095158. The cubic root of 8077569408 is about 2006.4433367470.

The spelling of 8077569408 in words is "eight billion, seventy-seven million, five hundred sixty-nine thousand, four hundred eight".