772494446880 has 960 divisors, whose sum is σ = 3003105853440. Its totient is φ = 185859588096.

The previous prime is 772494446849. The next prime is 772494446881. The reversal of 772494446880 is 88644494277.

772494446880 is a `hidden beast` number, since 7 + 7 + 2 + 4 + 94 + 4 + 468 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (772494446881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1690359612 + ... + 1690360068.

It is an arithmetic number, because the mean of its divisors is an integer number (3128235264).

Almost surely, 2^772494446880 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 772494446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501552926720).

772494446880 is an abundant number, since it is smaller than the sum of its proper divisors (2230611406560).

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

772494446880 is a wasteful number, since it uses less digits than its factorization.

772494446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 686 counting only the distinct ones).

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

It can be divided in two parts, 77249 and 4446880, that added together give a square (4524129 = 2127²).

The spelling of 772494446880 in words is "seven hundred seventy-two billion, four hundred ninety-four million, four hundred forty-six thousand, eight hundred eighty".