1787680413 has 12 divisors (see below), whose sum is σ = 2586241788. Its totient is φ = 1189923840.

The previous prime is 1787680403. The next prime is 1787680423. The reversal of 1787680413 is 3140867871.

1787680413 is a `hidden beast` number, since 178 + 7 + 68 + 0 + 413 = 666.

It is an interprime number because it is at equal distance from previous prime (1787680403) and next prime (1787680423).

It can be written as a sum of positive squares in 2 ways, for example, as 1121111289 + 666569124 = 33483^2 + 25818^2 .

It is not a de Polignac number, because 1787680413 - 2⁸ = 1787680157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1787680403) 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, 149170 + ... + 160707.

It is an arithmetic number, because the mean of its divisors is an integer number (215520149).

Almost surely, 2^1787680413 is an apocalyptic number.

It is an amenable number.

1787680413 is a deficient number, since it is larger than the sum of its proper divisors (798561375).

1787680413 is a wasteful number, since it uses less digits than its factorization.

1787680413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310524 (or 310521 counting only the distinct ones).

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

The square root of 1787680413 is about 42280.9698682516. The cubic root of 1787680413 is about 1213.6588503820.

It can be divided in two parts, 17876 and 80413, that added together give a palindrome (98289).

The spelling of 1787680413 in words is "one billion, seven hundred eighty-seven million, six hundred eighty thousand, four hundred thirteen".