772008666336 has 192 divisors, whose sum is σ = 2322773832960. Its totient is φ = 249338580480.

The previous prime is 772008666307. The next prime is 772008666353. The reversal of 772008666336 is 633666800277.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421855 + ... + 3640481.

It is an arithmetic number, because the mean of its divisors is an integer number (12097780380).

Almost surely, 2^772008666336 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 772008666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161386916480).

772008666336 is an abundant number, since it is smaller than the sum of its proper divisors (1550765166624).

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

772008666336 is a wasteful number, since it uses less digits than its factorization.

772008666336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218774 (or 218760 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 772008666336 in words is "seven hundred seventy-two billion, eight million, six hundred sixty-six thousand, three hundred thirty-six".