1790563840 has 160 divisors (see below), whose sum is σ = 4665076416. Its totient is φ = 655196160.

The previous prime is 1790563793. The next prime is 1790563867. The reversal of 1790563840 is 483650971.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1790563840² = 6412237730231091200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5757285 + ... + 5757595.

Almost surely, 2^1790563840 is an apocalyptic number.

1790563840 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 1790563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332538208).

1790563840 is an abundant number, since it is smaller than the sum of its proper divisors (2874512576).

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

1790563840 is a wasteful number, since it uses less digits than its factorization.

1790563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 1790563840 is about 42315.0545314549. The cubic root of 1790563840 is about 1214.3110208072.

The spelling of 1790563840 in words is "one billion, seven hundred ninety million, five hundred sixty-three thousand, eight hundred forty".