782105340 has 144 divisors (see below), whose sum is σ = 2348984736. Its totient is φ = 194304000.

The previous prime is 782105329. The next prime is 782105351. The reversal of 782105340 is 43501287.

It is an interprime number because it is at equal distance from previous prime (782105329) and next prime (782105351).

It is a super-2 number, since 2×782105340² = 1223377525713031200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 782105298 and 782105307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301040 + ... + 1301640.

It is an arithmetic number, because the mean of its divisors is an integer number (16312394).

Almost surely, 2^782105340 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 782105340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174492368).

782105340 is an abundant number, since it is smaller than the sum of its proper divisors (1566879396).

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

782105340 is a wasteful number, since it uses less digits than its factorization.

782105340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 782105340 is about 27966.1463201493. The cubic root of 782105340 is about 921.3438693505.

The spelling of 782105340 in words is "seven hundred eighty-two million, one hundred five thousand, three hundred forty".