782990417 has 16 divisors (see below), whose sum is σ = 862350720. Its totient is φ = 705024000.

The previous prime is 782990393. The next prime is 782990431. The reversal of 782990417 is 714099287.

It is a cyclic number.

It is not a de Polignac number, because 782990417 - 2¹⁰ = 782989393 is a prime.

It is a super-2 number, since 2×782990417² = 1226147986227667778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782990497) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1017809 + ... + 1018577.

It is an arithmetic number, because the mean of its divisors is an integer number (53896920).

Almost surely, 2^782990417 is an apocalyptic number.

It is an amenable number.

782990417 is a deficient number, since it is larger than the sum of its proper divisors (79360303).

782990417 is a wasteful number, since it uses less digits than its factorization.

782990417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544.

The product of its (nonzero) digits is 254016, while the sum is 47.

The square root of 782990417 is about 27981.9659245022. The cubic root of 782990417 is about 921.6912875356.

It can be divided in two parts, 782 and 990417, that added together give a palindrome (991199).

The spelling of 782990417 in words is "seven hundred eighty-two million, nine hundred ninety thousand, four hundred seventeen".