1781763480 has 672 divisors, whose sum is σ = 7401358800. Its totient is φ = 384072192.

The previous prime is 1781763469. The next prime is 1781763481. The reversal of 1781763480 is 843671871.

1781763480 is a `hidden beast` number, since 1 + 7 + 8 + 1 + 7 + 634 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1781763481) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 41436339 + ... + 41436381.

Almost surely, 2^1781763480 is an apocalyptic number.

1781763480 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 1781763480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700679400).

1781763480 is an abundant number, since it is smaller than the sum of its proper divisors (5619595320).

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

1781763480 is a wasteful number, since it uses less digits than its factorization.

1781763480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1781763480 is about 42210.9402880343. The cubic root of 1781763480 is about 1212.3183655368.

The spelling of 1781763480 in words is "one billion, seven hundred eighty-one million, seven hundred sixty-three thousand, four hundred eighty".