772211596086 has 192 divisors, whose sum is σ = 1995713461248. Its totient is φ = 211210032384.

The previous prime is 772211596081. The next prime is 772211596099. The reversal of 772211596086 is 680695112277.

772211596086 is a `hidden beast` number, since 7 + 7 + 2 + 21 + 1 + 5 + 9 + 608 + 6 = 666.

It is a super-2 number, since 2×772211596086² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772211596081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75384081 + ... + 75394323.

It is an arithmetic number, because the mean of its divisors is an integer number (10394340944).

Almost surely, 2^772211596086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772211596086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997856730624).

772211596086 is an abundant number, since it is smaller than the sum of its proper divisors (1223501865162).

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

772211596086 is a wasteful number, since it uses less digits than its factorization.

772211596086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 772211596086 in words is "seven hundred seventy-two billion, two hundred eleven million, five hundred ninety-six thousand, eighty-six".