1780400832 has 112 divisors (see below), whose sum is σ = 5392960512. Its totient is φ = 507801600.

The previous prime is 1780400807. The next prime is 1780400863. The reversal of 1780400832 is 2380040871.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1780400793 and 1780400802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1481832 + ... + 1483032.

Almost surely, 2^1780400832 is an apocalyptic number.

1780400832 is a gapful number since it is divisible by the number (12) 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 1780400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696480256).

1780400832 is an abundant number, since it is smaller than the sum of its proper divisors (3612559680).

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

1780400832 is a wasteful number, since it uses less digits than its factorization.

1780400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1780400832 is about 42194.7962668384. The cubic root of 1780400832 is about 1212.0092364968.

The spelling of 1780400832 in words is "one billion, seven hundred eighty million, four hundred thousand, eight hundred thirty-two".