781381007 has 16 divisors (see below), whose sum is σ = 869121792. Its totient is φ = 696553920.

The previous prime is 781380983. The next prime is 781381039. The reversal of 781381007 is 700183187.

It is a cyclic number.

It is not a de Polignac number, because 781381007 - 2¹⁶ = 781315471 is a prime.

It is a super-2 number, since 2×781381007² = 1221112556200668098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781381907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121958 + ... + 128204.

It is an arithmetic number, because the mean of its divisors is an integer number (54320112).

Almost surely, 2^781381007 is an apocalyptic number.

781381007 is a deficient number, since it is larger than the sum of its proper divisors (87740785).

781381007 is a wasteful number, since it uses less digits than its factorization.

781381007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478.

The product of its (nonzero) digits is 9408, while the sum is 35.

The square root of 781381007 is about 27953.1931449700. The cubic root of 781381007 is about 921.0593527337.

The spelling of 781381007 in words is "seven hundred eighty-one million, three hundred eighty-one thousand, seven".