770256293328 has 160 divisors (see below), whose sum is σ = 2334324403200. Its totient is φ = 242503113600.

The previous prime is 770256293327. The next prime is 770256293333. The reversal of 770256293328 is 823392652077.

770256293328 is a `hidden beast` number, since 7 + 7 + 0 + 2 + 5 + 629 + 3 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×770256293328² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770256293327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2575093 + ... + 2858603.

It is an arithmetic number, because the mean of its divisors is an integer number (14589527520).

Almost surely, 2^770256293328 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 770256293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167162201600).

770256293328 is an abundant number, since it is smaller than the sum of its proper divisors (1564068109872).

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

770256293328 is a wasteful number, since it uses less digits than its factorization.

770256293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283878 (or 283866 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 770256293328 in words is "seven hundred seventy billion, two hundred fifty-six million, two hundred ninety-three thousand, three hundred twenty-eight".