1780007040 has 384 divisors, whose sum is σ = 7099297920. Its totient is φ = 402554880.

The previous prime is 1780007027. The next prime is 1780007051. The reversal of 1780007040 is 407000871.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1780006995 and 1780007013.

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, 5281752 + ... + 5282088.

It is an arithmetic number, because the mean of its divisors is an integer number (18487755).

Almost surely, 2^1780007040 is an apocalyptic number.

1780007040 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 1780007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549648960).

1780007040 is an abundant number, since it is smaller than the sum of its proper divisors (5319290880).

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

1780007040 is a wasteful number, since it uses less digits than its factorization.

1780007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1780007040 is about 42190.1296513770. The cubic root of 1780007040 is about 1211.9198718389.

The spelling of 1780007040 in words is "one billion, seven hundred eighty million, seven thousand, forty".