1778663040 has 512 divisors, whose sum is σ = 7233546240. Its totient is φ = 361021440.

The previous prime is 1778663039. The next prime is 1778663069. The reversal of 1778663040 is 403668771.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1778662983 and 1778663001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7835407 + ... + 7835633.

It is an arithmetic number, because the mean of its divisors is an integer number (14128020).

Almost surely, 2^1778663040 is an apocalyptic number.

1778663040 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 1778663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616773120).

1778663040 is an abundant number, since it is smaller than the sum of its proper divisors (5454883200).

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

1778663040 is a wasteful number, since it uses less digits than its factorization.

1778663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 1778663040 is about 42174.1987475755. The cubic root of 1778663040 is about 1211.6147737144.

The spelling of 1778663040 in words is "one billion, seven hundred seventy-eight million, six hundred sixty-three thousand, forty".