772745520456 has 192 divisors, whose sum is σ = 2628387216000. Its totient is φ = 203800931712.

The previous prime is 772745520409. The next prime is 772745520461. The reversal of 772745520456 is 654025547277.

772745520456 is a `hidden beast` number, since 7 + 7 + 2 + 74 + 5 + 520 + 45 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882426 + ... + 1524521.

It is an arithmetic number, because the mean of its divisors is an integer number (13689516750).

Almost surely, 2^772745520456 is an apocalyptic number.

It is an amenable number.

772745520456 is an abundant number, since it is smaller than the sum of its proper divisors (1855641695544).

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

772745520456 is a wasteful number, since it uses less digits than its factorization.

772745520456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406993 (or 2406972 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 772745520456 in words is "seven hundred seventy-two billion, seven hundred forty-five million, five hundred twenty thousand, four hundred fifty-six".