770057036245728 has 4032 divisors, whose sum is σ = 3063807277977600. Its totient is φ = 185999332147200.

The previous prime is 770057036245711. The next prime is 770057036245759. The reversal of 770057036245728 is 827542630750077.

It is a happy number.

770057036245728 is a `hidden beast` number, since 7 + 7 + 0 + 0 + 5 + 7 + 0 + 36 + 24 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3195257411688 + ... + 3195257411928.

It is an arithmetic number, because the mean of its divisors is an integer number (759872836800).

Almost surely, 2^{770057036245728} 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 770057036245728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531903638988800).

770057036245728 is an abundant number, since it is smaller than the sum of its proper divisors (2293750241731872).

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

770057036245728 is a wasteful number, since it uses less digits than its factorization.

770057036245728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 770057036245728 in words is "seven hundred seventy trillion, fifty-seven billion, thirty-six million, two hundred forty-five thousand, seven hundred twenty-eight".