772134778944 has 567 divisors, whose sum is σ = 2446182672141. Its totient is φ = 232823531520.

The previous prime is 772134778939. The next prime is 772134778967. The reversal of 772134778944 is 449877431277.

The square root of 772134778944 is 878712.

It is a perfect power (a square), and thus also a powerful number.

772134778944 is a `hidden beast` number, since 7 + 72 + 1 + 3 + 477 + 8 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37205780544 + 734928998400 = 192888^2 + 857280^2 .

Its product of digits (66382848) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16428399529 + ... + 16428399575.

Almost surely, 2^772134778944 is an apocalyptic number.

772134778944 is the 878712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772134778944

772134778944 is an abundant number, since it is smaller than the sum of its proper divisors (1674047893197).

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

772134778944 is a wasteful number, since it uses less digits than its factorization.

772134778944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 112 counting only the distinct ones).

The product of its digits is 66382848, while the sum is 63.

The spelling of 772134778944 in words is "seven hundred seventy-two billion, one hundred thirty-four million, seven hundred seventy-eight thousand, nine hundred forty-four".