1782680640 has 224 divisors, whose sum is σ = 6172419456. Its totient is φ = 433274880.

The previous prime is 1782680629. The next prime is 1782680651. The reversal of 1782680640 is 460862871.

It is an interprime number because it is at equal distance from previous prime (1782680629) and next prime (1782680651).

It is a junction number, because it is equal to n+sod(n) for n = 1782680592 and 1782680601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034980 + ... + 1036700.

It is an arithmetic number, because the mean of its divisors is an integer number (27555444).

Almost surely, 2^1782680640 is an apocalyptic number.

1782680640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1782680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086209728).

1782680640 is an abundant number, since it is smaller than the sum of its proper divisors (4389738816).

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

1782680640 is a wasteful number, since it uses less digits than its factorization.

1782680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1782680640 is about 42221.8028985026. The cubic root of 1782680640 is about 1212.5263428577.

The spelling of 1782680640 in words is "one billion, seven hundred eighty-two million, six hundred eighty thousand, six hundred forty".