772793736696 has 320 divisors, whose sum is σ = 2322582958080. Its totient is φ = 239609352960.

The previous prime is 772793736629. The next prime is 772793736719. The reversal of 772793736696 is 696637397277.

772793736696 is a `hidden beast` number, since 77 + 27 + 93 + 7 + 366 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61683985 + ... + 61696511.

It is an arithmetic number, because the mean of its divisors is an integer number (7258071744).

Almost surely, 2^772793736696 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 772793736696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161291479040).

772793736696 is an abundant number, since it is smaller than the sum of its proper divisors (1549789221384).

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

772793736696 is a wasteful number, since it uses less digits than its factorization.

772793736696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12696 (or 12683 counting only the distinct ones).

The product of its digits is 756142128, while the sum is 72.

The spelling of 772793736696 in words is "seven hundred seventy-two billion, seven hundred ninety-three million, seven hundred thirty-six thousand, six hundred ninety-six".