1781004960 has 432 divisors, whose sum is σ = 7246695456. Its totient is φ = 396942336.

The previous prime is 1781004943. The next prime is 1781004961. The reversal of 1781004960 is 694001871.

It is a super-3 number, since 3×1781004960³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1781004961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3033787 + ... + 3034373.

It is an arithmetic number, because the mean of its divisors is an integer number (16774758).

Almost surely, 2^1781004960 is an apocalyptic number.

1781004960 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 1781004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623347728).

1781004960 is an abundant number, since it is smaller than the sum of its proper divisors (5465690496).

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

1781004960 is a wasteful number, since it uses less digits than its factorization.

1781004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1781004960 is about 42201.9544571102. The cubic root of 1781004960 is about 1212.1463078612.

The spelling of 1781004960 in words is "one billion, seven hundred eighty-one million, four thousand, nine hundred sixty".