1778945490 has 320 divisors, whose sum is σ = 5889312000. Its totient is φ = 384072192.

The previous prime is 1778945489. The next prime is 1778945503. The reversal of 1778945490 is 945498771.

1778945490 is a `hidden beast` number, since 1 + 7 + 7 + 8 + 94 + 549 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5278602 + ... + 5278938.

It is an arithmetic number, because the mean of its divisors is an integer number (18404100).

Almost surely, 2^1778945490 is an apocalyptic number.

1778945490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1778945490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944656000).

1778945490 is an abundant number, since it is smaller than the sum of its proper divisors (4110366510).

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

1778945490 is a wasteful number, since it uses less digits than its factorization.

1778945490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 1778945490 is about 42177.5472259827. The cubic root of 1778945490 is about 1211.6789047446.

The spelling of 1778945490 in words is "one billion, seven hundred seventy-eight million, nine hundred forty-five thousand, four hundred ninety".