1050781680 has 320 divisors, whose sum is σ = 4069739520. Its totient is φ = 247256064.

The previous prime is 1050781663. The next prime is 1050781709. The reversal of 1050781680 is 861870501.

1050781680 is a `hidden beast` number, since 10 + 507 + 81 + 68 + 0 = 666.

It is a super-2 number, since 2×1050781680² = 2208284278047244800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645027 + ... + 646653.

It is an arithmetic number, because the mean of its divisors is an integer number (12717936).

Almost surely, 2^1050781680 is an apocalyptic number.

1050781680 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 1050781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034869760).

1050781680 is an abundant number, since it is smaller than the sum of its proper divisors (3018957840).

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

1050781680 is a wasteful number, since it uses less digits than its factorization.

1050781680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1050781680 is about 32415.7628323012. The cubic root of 1050781680 is about 1016.6485154274.

The spelling of 1050781680 in words is "one billion, fifty million, seven hundred eighty-one thousand, six hundred eighty".