782262828050 has 162 divisors, whose sum is σ = 1630710542559. Its totient is φ = 278980662400.

The previous prime is 782262828043. The next prime is 782262828071. The reversal of 782262828050 is 50828262287.

It can be written as a sum of positive squares in 5 ways, for example, as 348939485521 + 433323342529 = 590711^2 + 658273^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=625405.

It is a super-2 number, since 2×782262828050² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 782262828050.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5709947582 + ... + 5709947718.

Almost surely, 2^782262828050 is an apocalyptic number.

782262828050 is an abundant number, since it is smaller than the sum of its proper divisors (848447714509).

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

782262828050 is a wasteful number, since it uses less digits than its factorization.

782262828050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

Multiplying 782262828050 by its sum of digits (50), we get a square (39113141402500 = 6254050²).

782262828050 divided by its sum of digits (50) gives a square (15645256561 = 125081²).

The spelling of 782262828050 in words is "seven hundred eighty-two billion, two hundred sixty-two million, eight hundred twenty-eight thousand, fifty".