771972046560 has 384 divisors, whose sum is σ = 3174265221120. Its totient is φ = 172748851200.

The previous prime is 771972046501. The next prime is 771972046583. The reversal of 771972046560 is 65640279177.

771972046560 is a `hidden beast` number, since 7 + 7 + 1 + 9 + 72 + 0 + 4 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 771972046497 and 771972046506.

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 63 ways as a sum of consecutive naturals, for example, 7056 + ... + 1242575.

It is an arithmetic number, because the mean of its divisors is an integer number (8266315680).

Almost surely, 2^771972046560 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 771972046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587132610560).

771972046560 is an abundant number, since it is smaller than the sum of its proper divisors (2402293174560).

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

771972046560 is a wasteful number, since it uses less digits than its factorization.

771972046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249679 (or 1249665 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 771972046560 in words is "seven hundred seventy-one billion, nine hundred seventy-two million, forty-six thousand, five hundred sixty".