1778323680 has 576 divisors, whose sum is σ = 7501455360. Its totient is φ = 391910400.

The previous prime is 1778323669. The next prime is 1778323693. The reversal of 1778323680 is 863238771.

It is a super-2 number, since 2×1778323680² = 6324870221697484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6561945 + ... + 6562215.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2^1778323680 is an apocalyptic number.

1778323680 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 1778323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750727680).

1778323680 is an abundant number, since it is smaller than the sum of its proper divisors (5723131680).

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

1778323680 is a wasteful number, since it uses less digits than its factorization.

1778323680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1778323680 is about 42170.1752426997. The cubic root of 1778323680 is about 1211.5377121363.

The spelling of 1778323680 in words is "one billion, seven hundred seventy-eight million, three hundred twenty-three thousand, six hundred eighty".