772446883680 has 672 divisors, whose sum is σ = 2809572798816. Its totient is φ = 200532713472.

The previous prime is 772446883669. The next prime is 772446883699. The reversal of 772446883680 is 86388644277.

772446883680 is a `hidden beast` number, since 7 + 7 + 2 + 446 + 88 + 36 + 80 = 666.

772446883680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 706721214 + ... + 706722306.

It is an arithmetic number, because the mean of its divisors is an integer number (4180911903).

Almost surely, 2^772446883680 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 772446883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404786399408).

772446883680 is an abundant number, since it is smaller than the sum of its proper divisors (2037125915136).

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

772446883680 is a wasteful number, since it uses less digits than its factorization.

772446883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 772446883680 in words is "seven hundred seventy-two billion, four hundred forty-six million, eight hundred eighty-three thousand, six hundred eighty".