1007798568 has 128 divisors (see below), whose sum is σ = 2995998720. Its totient is φ = 276514560.

The previous prime is 1007798549. The next prime is 1007798591. The reversal of 1007798568 is 8658977001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007798568.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439521 + ... + 441807.

It is an arithmetic number, because the mean of its divisors is an integer number (23406240).

Almost surely, 2^1007798568 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 1007798568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497999360).

1007798568 is an abundant number, since it is smaller than the sum of its proper divisors (1988200152).

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

1007798568 is a wasteful number, since it uses less digits than its factorization.

1007798568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The square root of 1007798568 is about 31745.8433184567. The cubic root of 1007798568 is about 1002.5927942744.

The spelling of 1007798568 in words is "one billion, seven million, seven hundred ninety-eight thousand, five hundred sixty-eight".