772883623044 has 375 divisors, whose sum is σ = 2325637783007. Its totient is φ = 223821501696.

The previous prime is 772883623033. The next prime is 772883623067. The reversal of 772883623044 is 440326388277.

It is a happy number.

The square root of 772883623044 is 879138.

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

772883623044 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 8 + 3 + 623 + 0 + 4 + 4 = 666.

772883623044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 745221280644 + 27662342400 = 863262^2 + 166320^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=663.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 45463742524 + ... + 45463742540.

Almost surely, 2^772883623044 is an apocalyptic number.

772883623044 is the 879138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772883623044

772883623044 is an abundant number, since it is smaller than the sum of its proper divisors (1552754159963).

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

772883623044 is an frugal number, since it uses more digits than its factorization.

772883623044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 772883623044 in words is "seven hundred seventy-two billion, eight hundred eighty-three million, six hundred twenty-three thousand, forty-four".