780479616 has 128 divisors (see below), whose sum is σ = 2393164800. Its totient is φ = 220750848.

The previous prime is 780479597. The next prime is 780479617. The reversal of 780479616 is 616974087.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (780479617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275455 + ... + 278273.

It is an arithmetic number, because the mean of its divisors is an integer number (18696600).

Almost surely, 2^780479616 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 780479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196582400).

780479616 is an abundant number, since it is smaller than the sum of its proper divisors (1612685184).

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

780479616 is a wasteful number, since it uses less digits than its factorization.

780479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 780479616 is about 27937.0652717854. The cubic root of 780479616 is about 920.7050424132.

The spelling of 780479616 in words is "seven hundred eighty million, four hundred seventy-nine thousand, six hundred sixteen".