1003778640 has 60 divisors (see below), whose sum is σ = 3371025684. Its totient is φ = 267674112.

The previous prime is 1003778639. The next prime is 1003778641. The reversal of 1003778640 is 468773001.

1003778640 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 7 + 7 + 8 + 640 = 666.

1003778640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003778639) and next prime (1003778641).

It can be written as a sum of positive squares in 2 ways, for example, as 757790784 + 245987856 = 27528^2 + 15684^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 1003778595 and 1003778604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003778641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696349 + ... + 697788.

Almost surely, 2^1003778640 is an apocalyptic number.

1003778640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003778640 is an abundant number, since it is smaller than the sum of its proper divisors (2367247044).

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

1003778640 is a wasteful number, since it uses less digits than its factorization.

1003778640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394156 (or 1394147 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1003778640 is about 31682.4658131276. The cubic root of 1003778640 is about 1001.2579635309.

The spelling of 1003778640 in words is "one billion, three million, seven hundred seventy-eight thousand, six hundred forty".