772313116608 has 224 divisors, whose sum is σ = 2494690464000. Its totient is φ = 232349783040.

The previous prime is 772313116607. The next prime is 772313116691. The reversal of 772313116608 is 806611313277.

772313116608 is a `hidden beast` number, since 7 + 7 + 2 + 3 + 1 + 31 + 1 + 6 + 608 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772313116607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495958 + ... + 2788266.

It is an arithmetic number, because the mean of its divisors is an integer number (11137011000).

Almost surely, 2^772313116608 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 772313116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247345232000).

772313116608 is an abundant number, since it is smaller than the sum of its proper divisors (1722377347392).

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

772313116608 is a wasteful number, since it uses less digits than its factorization.

772313116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292480 (or 292464 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 772313116608 in words is "seven hundred seventy-two billion, three hundred thirteen million, one hundred sixteen thousand, six hundred eight".