780609960 has 320 divisors, whose sum is σ = 2897959680. Its totient is φ = 187246080.

The previous prime is 780609919. The next prime is 780610007. The reversal of 780609960 is 69906087.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1810945 + ... + 1811375.

It is an arithmetic number, because the mean of its divisors is an integer number (9056124).

Almost surely, 2^780609960 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 780609960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448979840).

780609960 is an abundant number, since it is smaller than the sum of its proper divisors (2117349720).

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

780609960 is a wasteful number, since it uses less digits than its factorization.

780609960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 780609960 is about 27939.3979892195. The cubic root of 780609960 is about 920.7562936761.

The spelling of 780609960 in words is "seven hundred eighty million, six hundred nine thousand, nine hundred sixty".