772136386560 has 2160 divisors, whose sum is σ = 3566297367360. Its totient is φ = 152599265280.

The previous prime is 772136386507. The next prime is 772136386597. The reversal of 772136386560 is 65683631277.

772136386560 is a `hidden beast` number, since 7 + 7 + 2 + 13 + 63 + 8 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 772136386497 and 772136386506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11524423647 + ... + 11524423713.

It is an arithmetic number, because the mean of its divisors is an integer number (1651063596).

Almost surely, 2^772136386560 is an apocalyptic number.

772136386560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772136386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783148683680).

772136386560 is an abundant number, since it is smaller than the sum of its proper divisors (2794160980800).

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

772136386560 is a wasteful number, since it uses less digits than its factorization.

772136386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 772136386560 in words is "seven hundred seventy-two billion, one hundred thirty-six million, three hundred eighty-six thousand, five hundred sixty".