780559416 has 480 divisors, whose sum is σ = 2873566080. Its totient is φ = 195955200.

The previous prime is 780559361. The next prime is 780559427. The reversal of 780559416 is 614955087.

780559416 is a `hidden beast` number, since 7 + 80 + 559 + 4 + 16 = 666.

It is a super-2 number, since 2×780559416² = 1218546003812522112, which contains 22 as substring.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 12796026 + ... + 12796086.

It is an arithmetic number, because the mean of its divisors is an integer number (5986596).

Almost surely, 2^780559416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780559416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436783040).

780559416 is an abundant number, since it is smaller than the sum of its proper divisors (2093006664).

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

780559416 is a wasteful number, since it uses less digits than its factorization.

780559416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 780559416 is about 27938.4934454240. The cubic root of 780559416 is about 920.7364204517.

The spelling of 780559416 in words is "seven hundred eighty million, five hundred fifty-nine thousand, four hundred sixteen".