772555764564 has 144 divisors (see below), whose sum is σ = 2055119713920. Its totient is φ = 244227624960.

The previous prime is 772555764553. The next prime is 772555764569. The reversal of 772555764564 is 465467555277.

772555764564 is a `hidden beast` number, since 7 + 7 + 2 + 5 + 5 + 5 + 7 + 64 + 564 = 666.

It is a super-2 number, since 2×772555764564² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772555764569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105378379 + ... + 105385709.

It is an arithmetic number, because the mean of its divisors is an integer number (14271664680).

Almost surely, 2^772555764564 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 772555764564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027559856960).

772555764564 is an abundant number, since it is smaller than the sum of its proper divisors (1282563949356).

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

772555764564 is a wasteful number, since it uses less digits than its factorization.

772555764564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430 (or 8425 counting only the distinct ones).

The product of its digits is 246960000, while the sum is 63.

The spelling of 772555764564 in words is "seven hundred seventy-two billion, five hundred fifty-five million, seven hundred sixty-four thousand, five hundred sixty-four".