8078442240 has 144 divisors (see below), whose sum is σ = 28146174336. Its totient is φ = 1958400000.

The previous prime is 8078442227. The next prime is 8078442269. The reversal of 8078442240 is 422448708.

It is a super-2 number, since 2×8078442240² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53386 + ... + 137865.

It is an arithmetic number, because the mean of its divisors is an integer number (195459544).

Almost surely, 2^8078442240 is an apocalyptic number.

8078442240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8078442240 is an abundant number, since it is smaller than the sum of its proper divisors (20067732096).

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

8078442240 is a wasteful number, since it uses less digits than its factorization.

8078442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191286 (or 191272 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 8078442240 is about 89880.1548730308. The cubic root of 8078442240 is about 2006.5156037367.

The spelling of 8078442240 in words is "eight billion, seventy-eight million, four hundred forty-two thousand, two hundred forty".