1780072416 has 96 divisors (see below), whose sum is σ = 5289973920. Its totient is φ = 582147072.

The previous prime is 1780072391. The next prime is 1780072417. The reversal of 1780072416 is 6142700871.

1780072416 is a `hidden beast` number, since 178 + 0 + 0 + 72 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1780072417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26356 + ... + 65228.

It is an arithmetic number, because the mean of its divisors is an integer number (55103895).

Almost surely, 2^1780072416 is an apocalyptic number.

1780072416 is a gapful number since it is divisible by the number (16) 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 1780072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644986960).

1780072416 is an abundant number, since it is smaller than the sum of its proper divisors (3509901504).

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

1780072416 is a wasteful number, since it uses less digits than its factorization.

1780072416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38945 (or 38931 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1780072416 is about 42190.9044226359. The cubic root of 1780072416 is about 1211.9347087659.

The spelling of 1780072416 in words is "one billion, seven hundred eighty million, seventy-two thousand, four hundred sixteen".