780890647680 has 2304 divisors, whose sum is σ = 3439065651840. Its totient is φ = 167692861440.

The previous prime is 780890647651. The next prime is 780890647709. The reversal of 780890647680 is 86746098087.

780890647680 is a `hidden beast` number, since 7 + 8 + 0 + 89 + 0 + 6 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (780890647651) and next prime (780890647709).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10697132124 + ... + 10697132196.

Almost surely, 2^780890647680 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 780890647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719532825920).

780890647680 is an abundant number, since it is smaller than the sum of its proper divisors (2658175004160).

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

780890647680 is a wasteful number, since it uses less digits than its factorization.

780890647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 780890647680 in words is "seven hundred eighty billion, eight hundred ninety million, six hundred forty-seven thousand, six hundred eighty".