782730 has 64 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 191808.

The previous prime is 782723. The next prime is 782777. The reversal of 782730 is 37287.

It is a super-2 number, since 2×782730² = 1225332505800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 782694 and 782703.

It is a congruent number.

It is an unprimeable number.

782730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3399 + ... + 3621.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁷⁸²⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 782730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

782730 is an abundant number, since it is smaller than the sum of its proper divisors (1475190).

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

782730 is a wasteful number, since it uses less digits than its factorization.

782730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

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

The square root of 782730 is about 884.7202947825. The cubic root of 782730 is about 92.1589093567.

The spelling of 782730 in words is "seven hundred eighty-two thousand, seven hundred thirty".