780705072 has 120 divisors (see below), whose sum is σ = 2510580384. Its totient is φ = 221847552.

The previous prime is 780705047. The next prime is 780705073. The reversal of 780705072 is 270507087.

780705072 is a `hidden beast` number, since 7 + 80 + 70 + 507 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (780705073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 192538 + ... + 196550.

Almost surely, 2^780705072 is an apocalyptic number.

780705072 is a gapful number since it is divisible by the number (72) 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 780705072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255290192).

780705072 is an abundant number, since it is smaller than the sum of its proper divisors (1729875312).

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

780705072 is a wasteful number, since it uses less digits than its factorization.

780705072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 780705072 is about 27941.1000499265. The cubic root of 780705072 is about 920.7936881157.

The spelling of 780705072 in words is "seven hundred eighty million, seven hundred five thousand, seventy-two".