1078406784 has 448 divisors, whose sum is σ = 3995658240. Its totient is φ = 282175488.

The previous prime is 1078406767. The next prime is 1078406809. The reversal of 1078406784 is 4876048701.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1078406784² = 2325922383554445312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8491329 + ... + 8491455.

It is an arithmetic number, because the mean of its divisors is an integer number (8918880).

Almost surely, 2^1078406784 is an apocalyptic number.

1078406784 is a gapful number since it is divisible by the number (14) 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 1078406784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997829120).

1078406784 is an abundant number, since it is smaller than the sum of its proper divisors (2917251456).

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

1078406784 is an equidigital number, since it uses as much as digits as its factorization.

1078406784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1078406784 is about 32839.1044944895. The cubic root of 1078406784 is about 1025.4808084142.

The spelling of 1078406784 in words is "one billion, seventy-eight million, four hundred six thousand, seven hundred eighty-four".