1782768960 has 336 divisors, whose sum is σ = 7317760320. Its totient is φ = 407393280.

The previous prime is 1782768943. The next prime is 1782768983. The reversal of 1782768960 is 698672871.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 1782768897 and 1782768906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421255 + ... + 425465.

Almost surely, 2^1782768960 is an apocalyptic number.

1782768960 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 1782768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658880160).

1782768960 is an abundant number, since it is smaller than the sum of its proper divisors (5534991360).

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

1782768960 is a wasteful number, since it uses less digits than its factorization.

1782768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1782768960 is about 42222.8487906726. The cubic root of 1782768960 is about 1212.5463667393.

The spelling of 1782768960 in words is "one billion, seven hundred eighty-two million, seven hundred sixty-eight thousand, nine hundred sixty".