1000078080 has 144 divisors (see below), whose sum is σ = 3219005664. Its totient is φ = 264601600.

The previous prime is 1000078067. The next prime is 1000078087. The reversal of 1000078080 is 808700001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1000078080.

It is not an unprimeable number, because it can be changed into a prime (1000078087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 525130 + ... + 527030.

It is an arithmetic number, because the mean of its divisors is an integer number (22354206).

Almost surely, 2^1000078080 is an apocalyptic number.

1000078080 is a gapful number since it is divisible by the number (10) 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 1000078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609502832).

1000078080 is an abundant number, since it is smaller than the sum of its proper divisors (2218927584).

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

1000078080 is a wasteful number, since it uses less digits than its factorization.

1000078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1000078080 is about 31624.0111307848. The cubic root of 1000078080 is about 1000.0260259893.

Adding to 1000078080 its reverse (808700001), we get a palindrome (1808778081).

The spelling of 1000078080 in words is "one billion, seventy-eight thousand, eighty".