1078545600 has 378 divisors, whose sum is σ = 4220385260. Its totient is φ = 261043200.

The previous prime is 1078545571. The next prime is 1078545607. The reversal of 1078545600 is 65458701.

1078545600 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 5 + 45 + 600 = 666.

It is a super-2 number, since 2×1078545600² = 2326521222558720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1078545607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1742091 + ... + 1742709.

Almost surely, 2^1078545600 is an apocalyptic number.

1078545600 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 1078545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110192630).

1078545600 is an abundant number, since it is smaller than the sum of its proper divisors (3141839660).

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

1078545600 is a wasteful number, since it uses less digits than its factorization.

1078545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1078545600 is about 32841.2180042093. The cubic root of 1078545600 is about 1025.5248075922.

The spelling of 1078545600 in words is "one billion, seventy-eight million, five hundred forty-five thousand, six hundred".