8047777408 has 128 divisors (see below), whose sum is σ = 18493171200. Its totient is φ = 3450055680.

The previous prime is 8047777399. The next prime is 8047777417.

It is a happy number.

8047777408 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8047777399) and next prime (8047777417).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7570285 + ... + 7571347.

It is an arithmetic number, because the mean of its divisors is an integer number (144477900).

Almost surely, 2^8047777408 is an apocalyptic number.

8047777408 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 8047777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246585600).

8047777408 is an abundant number, since it is smaller than the sum of its proper divisors (10445393792).

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

8047777408 is a wasteful number, since it uses less digits than its factorization.

8047777408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 2458624, while the sum is 52.

The square root of 8047777408 is about 89709.4053486032. The cubic root of 8047777408 is about 2003.9735508851.

The spelling of 8047777408 in words is "eight billion, forty-seven million, seven hundred seventy-seven thousand, four hundred eight".