1008581778 has 48 divisors (see below), whose sum is σ = 2268204120. Its totient is φ = 323511552.

The previous prime is 1008581771. The next prime is 1008581843. The reversal of 1008581778 is 8771858001.

It can be written as a sum of positive squares in 4 ways, for example, as 223293249 + 785288529 = 14943^2 + 28023^2 .

It is not an unprimeable number, because it can be changed into a prime (1008581771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160300 + ... + 166472.

Almost surely, 2^1008581778 is an apocalyptic number.

1008581778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008581778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134102060).

1008581778 is an abundant number, since it is smaller than the sum of its proper divisors (1259622342).

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

1008581778 is a wasteful number, since it uses less digits than its factorization.

1008581778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The square root of 1008581778 is about 31758.1765534484. The cubic root of 1008581778 is about 1002.8524484681.

The spelling of 1008581778 in words is "one billion, eight million, five hundred eighty-one thousand, seven hundred seventy-eight".