1078825600 has 96 divisors (see below), whose sum is σ = 2715746940. Its totient is φ = 423321600.

The previous prime is 1078825589. The next prime is 1078825619. The reversal of 1078825600 is 65288701.

It can be written as a sum of positive squares in 6 ways, for example, as 369562176 + 709263424 = 19224^2 + 26632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1078825600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166420 + ... + 172780.

Almost surely, 2^1078825600 is an apocalyptic number.

1078825600 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 1078825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357873470).

1078825600 is an abundant number, since it is smaller than the sum of its proper divisors (1636921340).

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

1078825600 is an equidigital number, since it uses as much as digits as its factorization.

1078825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 1078825600 is about 32845.4806632511. The cubic root of 1078825600 is about 1025.6135450244.

The spelling of 1078825600 in words is "one billion, seventy-eight million, eight hundred twenty-five thousand, six hundred".