1780404680 has 64 divisors (see below), whose sum is σ = 4109529600. Its totient is φ = 693826560.

The previous prime is 1780404653. The next prime is 1780404737. The reversal of 1780404680 is 864040871.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822800 + ... + 824960.

It is an arithmetic number, because the mean of its divisors is an integer number (64211400).

Almost surely, 2^1780404680 is an apocalyptic number.

1780404680 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 1780404680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054764800).

1780404680 is an abundant number, since it is smaller than the sum of its proper divisors (2329124920).

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

1780404680 is a wasteful number, since it uses less digits than its factorization.

1780404680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1780404680 is about 42194.8418648536. The cubic root of 1780404680 is about 1212.0101096725.

The spelling of 1780404680 in words is "one billion, seven hundred eighty million, four hundred four thousand, six hundred eighty".