782055466921 has 9 divisors (see below), whose sum is σ = 783724228599. Its totient is φ = 780390256584.

The previous prime is 782055466919. The next prime is 782055466939. The reversal of 782055466921 is 129664550287.

The square root of 782055466921 is 884339.

It is a perfect power (a square), and thus also a powerful number.

782055466921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 673179225625 + 108876241296 = 820475^2 + 329964^2 .

It is not a de Polignac number, because 782055466921 - 2¹ = 782055466919 is a prime.

It is a super-2 number, since 2×782055466921² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (782055416921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 784408195 + ... + 784409191.

Almost surely, 2^782055466921 is an apocalyptic number.

782055466921 is the 884339-th square number.

782055466921 is the 442170-th centered octagonal number.

It is an amenable number.

782055466921 is a deficient number, since it is larger than the sum of its proper divisors (1668761678).

782055466921 is an frugal number, since it uses more digits than its factorization.

782055466921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 782055466921 in words is "seven hundred eighty-two billion, fifty-five million, four hundred sixty-six thousand, nine hundred twenty-one".