782730000 has 400 divisors, whose sum is σ = 3037027840. Its totient is φ = 191808000.

The previous prime is 782729993. The next prime is 782730001. The reversal of 782730000 is 37287.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×782730000² = 1225332505800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (782730001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3509889 + ... + 3510111.

Almost surely, 2^782730000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518513920).

782730000 is an abundant number, since it is smaller than the sum of its proper divisors (2254297840).

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

782730000 is a wasteful number, since it uses less digits than its factorization.

782730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 782730000 is about 27977.3122368822. The cubic root of 782730000 is about 921.5890935667.

Adding to 782730000 its reverse (37287), we get a palindrome (782767287).

The spelling of 782730000 in words is "seven hundred eighty-two million, seven hundred thirty thousand".